BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Nicholas Wilkins (Bristol)
DTSTART:20200417T131500Z
DTEND:20200417T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/1
DESCRIPTION:Title: Equivariant quantum operations and relations between them\
nby Nicholas Wilkins (Bristol) as part of Symplectic zoominar\n\n\nAbstrac
t\nThere is growing interest in looking at operations on quantum cohomolog
y that take into account symmetries in the holomorphic spheres (such as th
e quantum Steenrod powers\, using a Z/p-symmetry). In order to prove relat
ions between them\, one needs to generalise this to include equivariant op
erations with more marked points\, varying domains and different symmetry
groups. We will look at the general method of construction of these operat
ions\, as well as two distinct examples of relations between them.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Traynor (Bryn Mawr)
DTSTART:20200424T131500Z
DTEND:20200424T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/2
DESCRIPTION:Title: The geography of immersed Lagrangian fillings of Legendrian su
bmanifolds\nby Lisa Traynor (Bryn Mawr) as part of Symplectic zoominar
\n\n\nAbstract\nGiven a smooth knot K in the 3-sphere\, a classic question
in knot theory is: What surfaces in the 4-ball have boundary equal to K?
One can also consider immersed surfaces and ask a “geography” question
: What combinations of genus and double points can be realized by surfaces
with boundary equal to K? I will discuss symplectic analogues of these q
uestions: Given a Legendrian knot\, what Lagrangian surfaces can it bound
? What immersed Lagrangian surfaces can it bound? These Lagrangian surfac
es are commonly called Lagrangian fillings of the Legendrian knot and are
more rigid than their topological counterpart. In particular\, while any
smooth knot bounds an infinite number of topologically distinct surfaces\,
there are classical and non-classical obstructions to the existence of La
grangian fillings of Legendrian knots. Specifically\, a polynomial associ
ated to the Legendrian boundary through the technique of generating famili
es can show that there is no compatible embedded Lagrangian filling. Imme
rsed Lagrangian fillings are more flexible\, and I will describe how this
polynomial associated to the Legendrian boundary forbids particular combin
ations of genus and double points in immersed Lagrangian fillings. In add
ition\, I will describe some constructions of immersed fillings that allow
us to completely answer the Lagrangian geography question for some Legend
rian knots. This is joint work with Samantha Pezzimenti.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Abbondandolo (Bochum)
DTSTART:20200501T131500Z
DTEND:20200501T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/3
DESCRIPTION:Title: Zoll contact forms are local maximisers of the systolic ratio<
/a>\nby Alberto Abbondandolo (Bochum) as part of Symplectic zoominar\n\n\n
Abstract\nA central question from systolic geometry is to find upper bound
s for the systolic ratio of a Riemannian metric on a closed $n$-dimensiona
l manifold\, i.e. the ratio of the $n$-th power of the shortest length of
closed geodesics by the volume. This question can be naturally extended to
Reeb flows\, a class of dynamical systems including geodesic flows and in
duced by a contact form on a closed manifold. The aim of this talk is to d
iscuss a recent result obtained in collaboration with Gabriele Benedetti:
Zoll contact forms\, i.e. forms such that all the orbits of the induced Re
eb flow are periodic with the same period\, are local maximisers of the sy
stolic ratio. Consequences of this result are: (i) sharp systolic inequali
ties for Riemannian and Finsler metrics close to Zoll ones\, (ii) the pert
urbative case of a conjecture of Viterbo on the symplectic capacity of con
vex bodies\, (iii) a generalization of Gromov's non-squeezing theorem in t
he intermediate dimensions for symplectomorphisms that are close to linear
ones.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Mazzucchelli (ENS- Lyon)
DTSTART:20200508T131500Z
DTEND:20200508T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/4
DESCRIPTION:Title: Spectral characterizations of Besse and Zoll Reeb flows\nb
y Marco Mazzucchelli (ENS- Lyon) as part of Symplectic zoominar\n\n\nAbstr
act\nIn this talk\, I will address a geometric inverse problem from contac
t geometry: is it possible to recognize whether all orbits of a given Reeb
flow are closed from the knowledge of the action spectrum? Borrowing the
terminology from Riemannian geometry\, Reeb flows all of whose orbits are
closed are sometimes called Besse\, and Besse Reeb flows all of whose orbi
ts have the same minimal period are sometimes called Zoll. In the talk I
will summarize recent results on this inverse problem in a few settings: g
eodesic flows (joint work with Stefan Suhr)\, closed contact 3-manifolds (
joint work with Daniel Cristofaro-Gardiner)\, convex contact spheres and\,
more generally\, restricted contact type hypersurfaces of symplectic vect
or spaces (joint work with Viktor Ginzburg and Basak Gürel). I will also
mention a few conjectures and open problems.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jo Nelson (Rice)
DTSTART:20200515T131500Z
DTEND:20200515T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/5
DESCRIPTION:Title: Reflections on cylindrical contact homology\nby Jo Nelson
(Rice) as part of Symplectic zoominar\n\n\nAbstract\nThis talk beings with
a light introduction\, including some historical anecdotes to motivate t
he development of this Floer theoretic machinery for contact manifolds som
e 25 years ago. I will discuss joint work with Hutchings which construct
s nonequivariant and a family Floer equivariant version of contact homolog
y. Both theories are generated by two copies of each Reeb orbit over Z and
capture interesting torsion information. I will explain the need for an
obstruction bundle gluing correction term in the expression of the differe
ntial in the presence of contractible Reeb orbits\, which is essential eve
n in the simple example of an ellipsoid. I will then explain how one can
recover the original cylindrical theory proposed by Eliashberg-Givental-Ho
fer via our constructions.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Denis Auroux (Harvard)
DTSTART:20200522T131500Z
DTEND:20200522T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/6
DESCRIPTION:Title: Mirrors of curves and their Fukaya categories\nby Denis Au
roux (Harvard) as part of Symplectic zoominar\n\n\nAbstract\nHomological m
irror symmetry predicts that the derived category of coherent sheaves on a
curve has a symplectic counterpart as the Fukaya category of a mirror spa
ce. However\, with the exception of elliptic curves\, this mirror is usual
ly a symplectic Landau-Ginzburg model\, i.e. a non-compact manifold equipp
ed with the extra data of a "stop" in its boundary at infinity. Most of th
e talk will focus on a family of Landau-Ginzburg models which provide mirr
ors to curves in (C*)^2 or in toric surfaces (or more generally to hypersu
rfaces in toric varieties)\, and their fiberwise wrapped Fukaya categories
(joint work with Mohammed Abouzaid). I will then discuss more a speculati
ve way of constructing mirrors of curves without Landau-Ginzburg models\,
involving a new flavor of Lagrangian Floer theory in trivalent configurati
ons of Riemann surfaces (joint work with Alexander Efimov and Ludmil Katza
rkov).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Oancea (Paris)
DTSTART:20200529T131500Z
DTEND:20200529T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/7
DESCRIPTION:Title: Duality for Rabinowitz-Floer homology\nby Alex Oancea (Par
is) as part of Symplectic zoominar\n\n\nAbstract\nI will explain a duality
theorem with products in Rabinowitz-Floer homology. This has a bearing on
string topology and explains a number of dualities that have been observe
d in that setting. Joint work in progress with Kai Cieliebak and Nancy Hin
gston.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Polterovich (Tel Aviv)
DTSTART:20200410T131500Z
DTEND:20200410T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/8
DESCRIPTION:Title: Geometry of Quantum Uncertainty\nby Leonid Polterovich (Te
l Aviv) as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Cristofaro-Gardiner (IAS)
DTSTART:20200403T131500Z
DTEND:20200403T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/9
DESCRIPTION:Title: The Simplicity Conjecture\nby Daniel Cristofaro-Gardiner (
IAS) as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Octav Cornea (Montreal)
DTSTART:20200327T131500Z
DTEND:20200327T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/10
DESCRIPTION:Title: Fragmentation pseudo-metrics and Lagrangian submanifolds\
nby Octav Cornea (Montreal) as part of Symplectic zoominar\n\nAbstract: TB
A\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Mclean (SUNY\, Stony Brook)
DTSTART:20200612T131500Z
DTEND:20200612T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/11
DESCRIPTION:Title: Floer Cohomology and Arc Spaces.\nby Mark Mclean (SUNY\,
Stony Brook) as part of Symplectic zoominar\n\n\nAbstract\nLet f be a poly
nomial over the complex numbers with an isolated singular point at the ori
gin and let d be a positive integer. To such a polynomial we can assign a
variety called the dth contact locus of f. Morally\, this corresponds to t
he space of d-jets of holomorphic disks in complex affine space whose boun
dary `wraps' around the singularity d times. We show that Floer cohomology
of the dth power of the Milnor monodromy map is isomorphic to compactly s
upported cohomology of the dth contact locus. This answers a question of P
aul Seidel and it also proves a conjecture of Nero Budur\, Javier Fernánd
ez de Bobadilla\, Quy Thuong Lê and Hong Duc Nguyen. The key idea of the
proof is to use a jet space version of the PSS map together with a filtrat
ion argument.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Morgan Weiler\, Joé Brendel\, Abror Pirnapasov
DTSTART:20200605T131500Z
DTEND:20200605T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/12
DESCRIPTION:Title: Three 20 minutes research talks by young researchers.\nby
Morgan Weiler\, Joé Brendel\, Abror Pirnapasov as part of Symplectic zoo
minar\n\n\nAbstract\nMorgan Weiler (Rice):Infinite staircases of symplecti
c embeddings of ellipsoids into Hirzebruch surfaces\n\n \nJoé Brendel (Ne
uchatel): Real Lagrangian Tori in toric symplectic manifolds \n\nAbror Pir
napasov (Bochum): Reeb orbits that force topological entropy\n\nSee the ex
ternal web page for full abstracts.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Uljarevic (Belgrade)
DTSTART:20200619T131500Z
DTEND:20200619T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/13
DESCRIPTION:Title: Exotic symplectomorphisms and contact circle action\nby I
gor Uljarevic (Belgrade) as part of Symplectic zoominar\n\n\nAbstract\nAn
exotic symplectomorphism is a symplectomorphism that is not isotopic to th
e identity through compactly supported symplectomorphisms.Using Floer-theo
retic methods\, we prove that the non-existence of an exotic symplectomorp
hism on the standard symplectic ball\, $\\mathbb{B}^{2n}\,$ implies a rath
er strict topological condition on the free contact circle actions on the
standard contact sphere\, $\\mathbb{S}^{2n-1}.$ We also prove an analogue
for a Liouville domain and contact circle actions on its boundary. Applica
tions include results on the symplectic mapping class group\, the fundamen
tal group of the group of contactomorphisms\, and exotic contact structure
s on $\\mathbb{S}^3.$ The talk is based on joint work with Dusan Drobnjak.
\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ailsa Keating (Cambridge)
DTSTART:20200626T131500Z
DTEND:20200626T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/14
DESCRIPTION:Title: Distinguishing monotone Lagrangians via holomorphic annuli\nby Ailsa Keating (Cambridge) as part of Symplectic zoominar\n\n\nAbstra
ct\nWe present techniques for constructing families of compact\, monotone
(including exact) Lagrangians in certain affine varieties\, starting with
Brieskorn-Pham hypersurfaces. We will focus on dimensions 2 and 3. In part
icular\, we'll explain how to set up well-defined counts of holomorphic an
nuli for a range of these families. Time allowing\, we will give a number
of applications.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Rita Pires (Edinburgh)
DTSTART:20200703T131500Z
DTEND:20200703T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/15
DESCRIPTION:Title: Infinite staircases and reflexive polygons (part of Ellipsoid
day joint with Western Hemisphere Virtual Symplectic Seminar)\nby Ana
Rita Pires (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nA cl
assic result\, due to McDuff and Schlenk\, asserts that the function that
encodes when a four-dimensional symplectic ellipsoid can be embedded into
a four-dimensional ball has a remarkable structure: the function has infin
itely many corners\, determined by the odd-index Fibonacci numbers\, that
fit together to form an infinite staircase. The work of McDuff and Schlenk
has recently led to considerable interest in understanding when the ellip
soid embedding function for other symplectic 4-manifolds is partly describ
ed by an infinite staircase. In this talk we will discuss a general frame
work for analyzing this question for a large family of targets\, and in pa
rticular give an obstruction to the existence of an infinite staircase tha
t experimentally seems strong. We will then look at the special case of ra
tional convex toric domains / closed symplectic toric manifolds\, for whic
h we prove the existence of six families of targets with infinite staircas
es that are distinguished by the fact that their moment polygon is reflexi
ve. The proof uses\, among other tools\, almost toric fibrations -- see al
so the second of the ellipsoid day talks. Finally\, we conjecture that the
se six families constitute a complete answer to the question of existence
of infinite staircase. This conjecture has been verified in the case when
the target is an ellipsoid -- see the third of the ellipsoid day talks. Th
is is based on joint work of Dan Cristofaro-Gardiner\, Tara Holm\, Alessia
Mandini\, and Ana Rita Pires.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Ozsvath (Princeton)
DTSTART:20200710T131500Z
DTEND:20200710T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/16
DESCRIPTION:Title: Knot Floer homology and bordered algebras\nby Peter Ozsva
th (Princeton) as part of Symplectic zoominar\n\n\nAbstract\nKnot Floer ho
mology is an invariant for knots in three-space\, defined as a Lagrangian
Floer homology in a symmetric product. It has the form of a bigraded vect
or space\, encoding topological information about the knot. I will discus
s an algebraic approach to computing knot Floer homology\, and a correspon
ding version for links\, based on decomposing knot diagrams. This is joint
work with Zoltan Szabo\, building on earlier joint work (bordered Heegaar
d Floer homology) with Robert Lipshitz and Dylan Thurston.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (Ecole Normale Supérieure)\, Shira Tanny (Tel-Avi
v University)\, and Javier Martínez-Aguinaga (Universidad Complutense Mad
rid)
DTSTART:20200717T131500Z
DTEND:20200717T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/17
DESCRIPTION:Title: Three 20 minutes research talks by young researchers.\nby
Yusuke Kawamoto (Ecole Normale Supérieure)\, Shira Tanny (Tel-Aviv Unive
rsity)\, and Javier Martínez-Aguinaga (Universidad Complutense Madrid) as
part of Symplectic zoominar\n\n\nAbstract\nKawamoto: Homogeneous quasimor
phism\, C^0-topology and Lagrangian intersection\n\nTanny: Floer theory of
disjointly supported Hamiltonians\n\nMartínez-Aguinaga: Madrid Formal Le
gendrian and horizontal embeddings\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Pardon (Princeton)
DTSTART:20200724T131500Z
DTEND:20200724T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/18
DESCRIPTION:Title: Pontryagin--Thom for orbifold bordism\nby John Pardon (Pr
inceton) as part of Symplectic zoominar\n\n\nAbstract\nThe classical Pontr
yagin–Thom isomorphism equates manifold bordism groups with correspondin
g stable homotopy groups. This construction moreover generalizes to the e
quivariant context. I will discuss work which establishes a Pontryagin--T
hom isomorphism for orbispaces (an orbispace is a "space" which is locally
modelled on Y/G for Y a space and G a finite group\; examples of orbispac
es include orbifolds and moduli spaces of pseudo-holomorphic curves). Thi
s involves defining a category of orbispectra and an involution of this ca
tegory extending Spanier--Whitehead duality. Global homotopy theory also
plays a key role.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georgios Dimitroglou Rizell (Uppsala)
DTSTART:20200904T131500Z
DTEND:20200904T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/19
DESCRIPTION:Title: Hamiltonian classification and unlinkedness of fibres in cota
ngent bundles of Riemann surfaces\nby Georgios Dimitroglou Rizell (Upp
sala) as part of Symplectic zoominar\n\n\nAbstract\nIn a joint work with L
aurent Côté we show the following\nresult. Any Lagrangian plane in the c
otangent bundle of an open Riemann surface which coincides with a cotangen
t fibre outside of some compact subset\, is compactly supported Hamiltonia
n isotopic to that fibre. This result implies Hamiltonian unlinkedness for
Lagrangian links in the cotangent bundle of a (possibly closed Riemann su
rface whose components are Hamiltonian isotopic to fibres.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Colin (Nantes)
DTSTART:20200911T131500Z
DTEND:20200911T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/20
DESCRIPTION:Title: Reeb dynamics in dimension 3 and broken book decompositions\nby Vincent Colin (Nantes) as part of Symplectic zoominar\n\n\nAbstract
\nIn a joint work with Pierre Dehornoy and Ana Rechtman\, we prove that on
a closed 3-manifold\, every nondegenerate Reeb vector field is supported
by a broken book decomposition. From this property\, we deduce that in dim
ension 3 every nondegenerate Reeb vector field has either 2 or infinitely
periodic orbits and that on a closed 3-manifold that is not graphed\, ever
y nondegenerate Reeb vector field has positive topological entropy.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheol-Hyun Cho (Seoul)
DTSTART:20200918T131500Z
DTEND:20200918T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/21
DESCRIPTION:Title: Fukaya category for Landau-Ginzburg orbifolds and Berglund-H\
\"ubsch homological mirror symmetry for curve singularities.\nby Cheol
-Hyun Cho (Seoul) as part of Symplectic zoominar\n\n\nAbstract\nFor a weig
hted homogeneous polynomial and a choice of a diagonal symmetry group\, we
define a new Fukaya category based on wrapped Fukaya category of its Miln
or fiber together with monodromy\ninformation. It is analogous to the vari
ation operator in singularity theory. As an application\, we formulate a c
omplete version of Berglund-H\\"ubsch homological mirror symmetry and prov
e it for two variable cases. Namely\, given one of the polynomials $f= x^p
+y^q\, x^p+xy^q\,x^py+xy^q$ and a symmetry group $G$\, we use Floer theore
tic construction to obtain the transpose polynomial $f^t$ with the transpo
se symmetry group $G^t$ as well as an explicit A-infinity equivalence betw
een the new Fukaya category of $(f\,G)$ to the matrix factorization catego
ry of $(f^t\, G^t)$. In this case\, monodromy is mirror to the restriction
of LG model to a hypersurface. For ADE singularities\, Auslander-Reiten
quiver for indecomposable matrix factorizations were known from 80's\, and
we find the corresponding Lagrangians as well as surgery exact sequences.
This is a joint work with Dongwook Choa and Wonbo Jung.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lev Buhovsky (Tel Aviv)
DTSTART:20201009T131500Z
DTEND:20201009T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/22
DESCRIPTION:Title: The Arnold conjecture\, spectral invariants and C^0 symplecti
c topology\nby Lev Buhovsky (Tel Aviv) as part of Symplectic zoominar\
n\n\nAbstract\nThe Arnold conjecture about fixed points of Hamiltonian dif
feomorphisms was partly motivated by the celebrated Poincare-Birkhoff fixe
d point \ntheorem for an area-preserving homeomorphism of an annulus in th
e plane. Despite the fact that the Arnold conjecture was formulated in he
smooth setting\, several attempts to return to the continuous setting of h
omeomorphisms and to study the conjecture in this setting has been made af
terwards. In this talk I will describe some old and more recent results on
the subject. Based on a joint work with V. Humiliere and S. Seyfaddini.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Zhang (Montreal)
DTSTART:20200925T131500Z
DTEND:20200925T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/23
DESCRIPTION:Title: Triangulated persistence categories\nby Jun Zhang (Montre
al) as part of Symplectic zoominar\n\n\nAbstract\nThis talk will discuss a
new algebraic structure called triangulated persistence category (TPC). I
t combines the triangulated category structure with the persistence module
structure. This algebraic structure can be used to associate a metric top
ology on the object-set of a triangulated category\, which leads to variou
s dynamical questions on a pure algebraic set-up. Many examples are natura
lly endowed with the TPC structure\, for instance\, derived Fukaya categor
y\, Tamarkin category\, etc. In this talk\, we will illustrate one algebra
ic example in depth via extending the Bondal-Kapranov’s classical pre-tr
iangulated dg-category to a filtered version. This talk is based on an in-
progress project joint with Paul Biran and Octav Cornea.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dusa McDuff (Columbia)
DTSTART:20201002T131500Z
DTEND:20201002T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/24
DESCRIPTION:Title: Embedding ellipsoids into the one-point blowup of $\\C P^2$\nby Dusa McDuff (Columbia) as part of Symplectic zoominar\n\n\nAbstract
\nThis talk reports on joint work with Maria Bertozzi\, Tara Holm\, Emily
Maw\, Grace Mwakyoma\, Ana Rita Pires\, and Morgan Weiler on a WiSCon
project to investigate the embedding capacity function of the one-point b
low up of $\\C P^2$. We found three new families of staircases\, that are
related by symmetries and have other interesting structural features. Thi
s talk will explain our findings and our conjectures.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20201023T131500Z
DTEND:20201023T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/25
DESCRIPTION:Title: Examples related to Viterbo's conjectures\nby Michael Hut
chings (Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nViterbo co
njectured that a normalized symplectic capacity\, on convex domains of a g
iven volume\, is maximized for the ball. A stronger version of this conjec
ture asserts that all normalized symplectic capacities agree on convex dom
ains. Since convexity is not symplectomorphism invariant\, one can also as
k to what extent these statements still hold for nonconvex domains. We sur
vey some special cases and examples around these questions\, including rec
ent joint works with Julian Chaidez and Jean Gutt + Vinicius Ramos.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgunes (Stanford)
DTSTART:20201016T131500Z
DTEND:20201016T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/26
DESCRIPTION:Title: Mirror symmetry for chain type polynomials\nby Umut Varol
gunes (Stanford) as part of Symplectic zoominar\n\n\nAbstract\nI will star
t by explaining Takahashi's homological mirror symmetry (HMS) conjecture r
egarding invertible polynomials\, which is an open string reinterpretation
of Berglund-Hubsch-Henningson mirror symmetry. In joint work with A. Poli
shchuk\, we resolved this HMS conjecture in the chain type case up to rigo
rous proofs of general statements about Fukaya-Seidel categories. Our proo
f goes by showing that the categories in both sides are obtained from the
category Vect(k) by applying a recursion. I will explain this recursion ca
tegorically and sketch the argument for why it is satisfied on the A-side
assuming the aforementioned foundational results. If time permits\, I will
also mention what goes into the proof in the B-side.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eva Miranda (UPC)
DTSTART:20201204T141500Z
DTEND:20201204T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/27
DESCRIPTION:Title: The singular Weinstein conjecture and the Contact/Beltrami mi
rror\nby Eva Miranda (UPC) as part of Symplectic zoominar\n\n\nAbstrac
t\nIn this talk\, I will address the (singular) Weinstein conjecture about
the existence of (singular) periodic orbits of Reeb vector fields on comp
act manifolds endowed with singular contact forms. Our motivating examples
come from Celestial mechanics (restricted three-body problem) where conta
ct topology techniques were already successful in determining the existenc
e of periodic orbits (Albers-Frauenfelder-Van Koert-Paternain). With the a
im of completing this understanding\, we deal with the restricted three bo
dy example by adding the so-called "infinity set" (via a McGehee regulariz
ation). This induces a singularity on the contact structure which permeate
s the geometry and topology of the problem.\n\nHofer's fine techniques to
prove the Weinstein conjecture for overtwisted 3-dimensional contact manif
olds can be adapted in this singular set-up under some symmetry assumption
s close to the singular set (which also work for the non-compact case). We
prove the existence of infinite smooth Reeb periodic orbits on the (compa
ct) critical set of the contact form. This critical set can often be ident
ified with the collision set or set at infinity in the motivating examples
from Celestial mechanics. In those examples\, escape trajectories can be
often compactified as singular periodic orbits.\n \nTime permitting\, we w
ill end up this talk proving the existence of escape orbits and generalize
d singular periodic orbits for 3-dimensional singular contact manifolds un
der some mild assumptions. Our theory benefits in a great manner from the
existence of a correspondence (up to reparametrization) between Reeb and B
eltrami vector fields (Etnyre and Ghrist) which can be exported to this si
ngular set-up. In particular\, Uhlenbeck's genericity results for the eige
nfunctions of the Laplacian is a key point of the proof.\n\nThe contents o
f this talk are based on joint works with Cédric Oms and Daniel Peralta-S
alas.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengyi Zhou (IAS\, Princeton)
DTSTART:20201211T141500Z
DTEND:20201211T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/28
DESCRIPTION:Title: Hierarchies of contact manifolds via rational SFT\nby Zhe
ngyi Zhou (IAS\, Princeton) as part of Symplectic zoominar\n\n\nAbstract\n
I will explain the construction of a functor from the exact symplectic cob
ordism category to a totally ordered set\, which measures the complexity o
f the contact structure. Those invariants are derived from a bi-Lie infin
ity formalism of the rational SFT and a partial construction of the ration
al SFT. In this talk\, I will focus on the construction and properties of
the functor. Time permitting\, I will explain applications\, computations\
, and relations to the involutive bi-Lie infinity formalism of the full SF
T. This is joint work with Agustin Moreno.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kai Cieliebak (Augsburg)
DTSTART:20201106T141500Z
DTEND:20201106T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/29
DESCRIPTION:Title: Secondary coproducts in Morse and Floer homology\nby Kai
Cieliebak (Augsburg) as part of Symplectic zoominar\n\n\nAbstract\nThis ta
lk is about joint work with Nancy Hingston and Alexandru Oancea. We descri
be various secondary coproducts on the Floer homology of a cotangent bundl
e and show that\, under Viterbo's isomorphism\, they all correspond to the
Goresky-Hingston coproduct on loop space homology. The proof uses compact
ified moduli spaces of punctured holomorphic annuli.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Wei Fan (Berkeley)\; Surena Hozoori (Georgia Tech)\; Marcelo A
tallah (Montreal)
DTSTART:20201127T141500Z
DTEND:20201127T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/30
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Yu-Wei Fan
(Berkeley)\; Surena Hozoori (Georgia Tech)\; Marcelo Atallah (Montreal)
as part of Symplectic zoominar\n\n\nAbstract\nYu-Wei Fan: Shifting numbers
in triangulated categories.\n\nAbstract: One can consider endofunctors of
triangulated categories as categorical dynamical systems\, and study thei
r long term behaviors under large iterations. There are (at least) three n
atural invariants that one can associate to endofunctors from the dynamica
l perspective: categorical entropy\, and upper/lower shifting numbers. We
will recall some background on categorical dynamical systems and categoric
al entropy\, and introduce the notion of shifting numbers\, which measure
the asymptotic amount by which an endofunctor of a triangulated category t
ranslates inside the category. The shifting numbers are analogous to Poinc
are translation numbers. We additionally establish that in some examples t
he shifting numbers provide a quasimorphism on the group of autoequivalenc
es. Joint work with Simion Filip.\n\nSurena Hozoori: Symplectic Geometry o
f Anosov Flows in Dimension 3 and Bi-Contact Topology.\n\nAbstract: We giv
e a purely contact and symplectic geometric characterization of Anosov flo
ws in dimension 3 and set up a framework to use tools from contact and sym
plectic geometry and topology in the study of questions about Anosov dynam
ics. If time permits\, we will discuss some uniqueness results for the und
erlying (bi-) contact structure for an Anosov flow\, and/or a characteriza
tion of Anosovity based on Reeb flows.\n\nMarcelo Atallah: Hamiltonian no-
torsion\n\nAbstract: In 2002 Polterovich notably showed that Hamiltonian d
iffeomorphisms of finite order\, which we call Hamiltonian torsion\, must
be trivial on closed symplectically aspherical manifolds. We study the exi
stence of Hamiltonian torsion and its metric rigidity properties in more g
eneral situations. First\, we extend Polterovich's result to closed symple
ctically Calabi-Yau and closed negative monotone manifolds. Second\, going
beyond topological constraints\, we describe how Hamiltonian torsion is r
elated to the existence of pseudo-holomorphic spheres and answer a close v
ariant of Problem 24 from the introductory monograph of McDuff-Salamon. Fi
nally\, we prove an analogue of Newman’s 1931 theorem for Hofer’s metr
ic and Viterbo’s spectral metric on the Hamiltonian group of monotone sy
mplecitc manifolds: a sufficiently small ball around the identity contains
no torsion. During the talk\, I shall discuss the results above and some
of the key ingredients of their proofs. This talk is based on joint work w
ith Egor Shelukhin.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Allais (ENS Lyon)\; Orsola Capovilla-Searle (Duke)\; Julia
n Chaidez (UCB)
DTSTART:20201030T131500Z
DTEND:20201030T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/31
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Simon Alla
is (ENS Lyon)\; Orsola Capovilla-Searle (Duke)\; Julian Chaidez (UCB) as
part of Symplectic zoominar\n\n\nAbstract\nSimon Allais (ENS Lyon): Gener
ating functions in Hamiltonian dynamics and symplectic-contact rigidity\n\
nAbstract: Generating functions of Hamiltonian diffeomorphisms are maps th
at can be seen as finite dimensional versions of the action functional. In
various situations\, classical Morse theory applied to them can retrieve
the same information as the Floer theory. In this talk\, I will introduce
this tool and expose some old and new results of Hamiltonian dynamics and
symplectic rigidity that can be retrieved and sometimes extended using ele
mentary Morse theory and generating functions\; among others\, the recent
theorem of Shelukhin about the Hofer-Zehnder conjecture in the special cas
e of CP^d and a contact generalization of the symplectic camel theorem.\n\
nOrsola Capovilla-Searle (Duke University): Weinstein handle decomposition
s of complements of toric divisors in toric 4 manifolds\n\nAbstract: We co
nsider toric 4 manifolds with certain toric divisors that have normal cros
sing singularities. The normal crossing singularities can be smoothed\, ch
anging the topology of the complement. In specific cases this complement h
as a Weinstein structure\, and we develop an algorithm to construct a Wein
stein handlebody diagram of the complement of the smoothed toric divisor.
The algorithm we construct more generally gives a Weinstein handlebody dia
gram for Weinstein 4-manifolds constructed by attaching 2 handles to T*S f
or any surface S\, where the 2 handles are attached along the conormal lif
t of curves on S. Joint work with Bahar Acu\, Agnes Gadbled\, Aleksandra
Marinkovic\, Emmy Murphy\, Laura Starkston and Angela Wu.\n\nJulian Chaide
z (UC Berkeley): ECH Embedding Obstructions For Rational Surfaces\n\nAbst
ract: Is the Gromov width on toric varieties monotonic with respect to inc
lusions of moment polytopes? In this talk\, I will prove a generalization
in dimension 4: the "width" associated to a concave toric domain is monoto
nic with inclusion of momenty polygons. This is an application of some new
algebro-geometric obstructions for embeddings of star-shaped domains into
rational surfaces. This work is joint with Ben Wormleighton.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nick Sheridan (Edinburgh)
DTSTART:20201113T141500Z
DTEND:20201113T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/32
DESCRIPTION:Title: Quantum cohomology as a deformation of symplectic cohomology<
/a>\nby Nick Sheridan (Edinburgh) as part of Symplectic zoominar\n\n\nAbst
ract\nLet X be a compact symplectic manifold\, and D a normal crossings sy
mplectic divisor in X. We give a criterion under which the quantum cohomol
ogy of X is the cohomology of a natural deformation of the symplectic coch
ain complex of X \\ D. The criterion can be thought of in terms of the Kod
aira dimension of X (which should be non-positive)\, and the log Kodaira d
imension of X \\ D (which should be non-negative). The crucial tool is Var
olgunes' relative symplectic cohomology. This is joint work with Strom Bor
man and Umut Varolgunes.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Biran (ETH Zurich)
DTSTART:20201120T141500Z
DTEND:20201120T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/33
DESCRIPTION:Title: Persistence and Triangulation in Lagrangian Topology.\nby
Paul Biran (ETH Zurich) as part of Symplectic zoominar\n\n\nAbstract\nTri
angulated categories play an important role in symplectic topology. The ai
m of this talk is to explain how to combine triangulated structures with p
ersistence module theory in a geometrically meaningful way. The guiding pr
inciple comes from the theory of Lagrangian cobordism. The talk is based o
n ongoing joint work with Octav Cornea and Jun Zhang.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Jeffrey (University of Toronto)
DTSTART:20210115T141500Z
DTEND:20210115T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/34
DESCRIPTION:Title: Symplectic implosion\nby Lisa Jeffrey (University of Toro
nto) as part of Symplectic zoominar\n\n\nAbstract\nSymplectic implosion wa
s developed to solve the problem that the\nsymplectic cross-section of a H
amiltonian K-space is usually not\nsymplectic\, when K is a compact Lie gr
oup.\n\nThe symplectic implosion is a stratified symplectic space\, introd
uced in\na 2002 paper of the speaker with Guillemin and Sjamaar. I survey
some examples showing how symplectic implosion has been used.\nI describe
the universal imploded cross-section\, which is the\nimploded cross-secti
on of the cotangent bundle of a compact Lie group.\n\nImploded cross-secti
ons are normally not smooth manifolds.\nWe describe some invariants (for e
xample intersection homology)\nwhich replace homology for singular strati
fied spaces.\n\n(Joint work with Sina Zabanfahm)\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basak Gurel (UCF)
DTSTART:20210122T141500Z
DTEND:20210122T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/35
DESCRIPTION:Title: Pseudo-rotations vs. rotations\nby Basak Gurel (UCF) as p
art of Symplectic zoominar\n\n\nAbstract\nThe talk will focus on the quest
ion of whether existing symplectic methods can distinguish pseudo-rotation
s from rotations (i.e.\, elements of Hamiltonian circle actions). For the
projective plane\, in many instances\, but not always\, the answer is nega
tive. Namely\, for virtually every pseudo-rotation there exists a unique r
otation with precisely the same fixed-point data. However\, the hypothetic
al exceptions — ghost pseudo-rotations — suggest that the relation bet
ween the two classes of maps might be much weaker than previously thought\
, possibly leading to some unexpected consequences. This is based on joint
work with Viktor Ginzburg.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Three 20 min research talks: Alexandre Jannaud (Sorbonne)\; Tim La
rge (MIT)\; Oliver Edtmair (Berkeley)
DTSTART:20210129T141500Z
DTEND:20210129T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/36
DESCRIPTION:by Three 20 min research talks: Alexandre Jannaud (Sorbonne)\;
Tim Large (MIT)\; Oliver Edtmair (Berkeley) as part of Symplectic zoomina
r\n\n\nAbstract\nAlexandre Jannaud (University of Neuchatel)\, Dehn-Seidel
twist\, C^0 symplectic geometry and barcodes\n\nAbstract. In this talk I
will present my work initiating the study of the $C^0$ symplectic mapping
class group\, i.e. the group of isotopy classes of symplectic homeomorphis
ms\, and briefly present the proofs of the first results regarding the top
ology of the group of symplectic homeomorphisms. For that purpose\, we wil
l introduce a method coming from Floer theory and barcodes theory. Applyin
g this strategy to the Dehn-Seidel twist\, a symplectomorphism of particul
ar interest when studying the symplectic mapping class group\, we will gen
eralize to $C^0$ settings a result of Seidel concerning the non-triviality
of the mapping class of this symplectomorphism. We will indeed prove that
the generalized Dehn twist is not in the connected component of the ident
ity in the group of symplectic homeomorphisms. Doing so\, we prove the non
-triviality of the $C^0$ symplectic mapping class group of some Liouville
domains.\n\nTim Large (MIT)\, Floer K-theory and exotic Liouville manifold
s\n\nAbstract: In this short talk\, I will explain how to construct Liouvi
lle manifolds which have zero traditional symplectic cohomology but intere
sting symplectic K-theory. In particular\, we construct an exotic symplect
ic structure on Euclidean space which is not distinguished by traditional
Floer homology invariants. Instead\, it is detected by a module spectrum f
or complex K-theory\, built as a variant of Cohen-Jones-Segal’s Floer ho
motopy type. The proof involves passage through (wrapped) Fukaya categorie
s with coefficients in a ring spectrum\, rather than an ordinary ring.\n\n
\nOliver Edtmair (Berkeley)\, 3D convex contact forms and the Ruelle invar
iant \n\nAbstract. Is every dynamically convex contact form on the three s
phere convex? In this talk I will explain why the answer to this question
is no. The strategy is to derive a lower bound on the Ruelle invariant of
convex contact forms and construct dynamically convex contact forms violat
ing this lower bound. This is based on joint work with Julian Chaidez.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Baris Kartal (Princeton)
DTSTART:20210205T141500Z
DTEND:20210205T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/37
DESCRIPTION:Title: Algebraic torus actions on Fukaya categories and tameness of
change in Floer homology under symplectic isotopies.\nby Yusuf Baris K
artal (Princeton) as part of Symplectic zoominar\n\n\nAbstract\nThe purpos
e of this talk is to explore how Lagrangian Floer homology groups change u
nder (non-Hamiltonian) symplectic isotopies on a (negatively) monotone sym
plectic manifold $(M\,\\omega)$ satisfying a strong non-degeneracy conditi
on. More precisely\, given two Lagrangian branes $L\,L'$\, consider family
of Floer homology groups $HF(\\phi_v(L)\,L')$\, where $v\\in H^1(M\,\\mat
hbb R)$ and $\\phi_v$ is the time-1 map of a symplectic isotopy with flux
$v$. We show how to fit this collection into an algebraic sheaf over the a
lgebraic torus $H^1(M\,\\mathbb G_m)$. The main tool is the construction o
f an "algebraic action" of $H^1(M\,\\mathbb G_m)$ on the Fukaya category.
As an application\, we deduce the change in Floer homology groups satisfy
various tameness properties\, for instance\, the dimension is constant out
side an algebraic subset of $H^1(M\,\\mathbb G_m)$. Similarly\, given clos
ed $1$-form $\\alpha$\, which generates a symplectic isotopy denoted by $\
\phi_\\alpha^t$\, the Floer homology groups $HF(\\phi_\\alpha^t(L)\,L')$ h
ave rank that is constant in $t$\, with finitely many possible exceptions.
\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheuk Yu Mak (Edinburgh)
DTSTART:20210212T141500Z
DTEND:20210212T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/38
DESCRIPTION:Title: Non-displaceable Lagrangian links in four-manifolds\nby C
heuk Yu Mak (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nOne
of the earliest fundamental applications of Lagrangian Floer theory is det
ecting the non-displaceablity of a Lagrangian submanifold. Many progress
and generalisations have been made since then but little is known when the
Lagrangian submanifold is disconnected. In this talk\, we describe a new
idea to address this problem. Subsequently\, we explain how to use Fukay
a-Oh-Ohta-Ono and Cho-Poddar theory to show that for every S^2 \\times S^2
with a non-monotone product symplectic form\, there is a continuum of dis
connected\, non-displaceable Lagrangian submanifolds such that each connec
ted component is displaceable. This is a joint work with Ivan Smith.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Pomerleano (Boston)
DTSTART:20210219T141500Z
DTEND:20210219T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/39
DESCRIPTION:Title: Intrinsic mirror symmetry and categorical crepant resolutions
\nby Daniel Pomerleano (Boston) as part of Symplectic zoominar\n\n\nAb
stract\nGross and Siebert have recently proposed an "intrinsic" programme
for studying mirror symmetry. In this talk\, we will discuss a symplectic
interpretation of some of their ideas in the setting of affine log Calabi-
Yau varieties. Namely\, we describe work in progress which shows that\, un
der suitable assumptions\, the wrapped Fukaya category of such a variety X
gives an intrinsic "categorical crepant resolution" of Spec(SH0(X)). No b
ackground in mirror symmetry will be assumed for the talk.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sylvain Courte (Université Grenoble Alpes)
DTSTART:20210226T141500Z
DTEND:20210226T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/40
DESCRIPTION:Title: Twisted generating functions and the nearby Lagrangian conjec
ture (Part of the Generating Functions Day joint with Western Hemisphere V
irtual Symplectic Seminar)\nby Sylvain Courte (Université Grenoble Al
pes) as part of Symplectic zoominar\n\n\nAbstract\nI will explain the noti
on of twisted generating function and show that a closed exact Lagrangian
submanifold L in the cotangent bundle of M admits such a thing. The type o
f function arising in our construction is related to Waldhausen's tube spa
ce from his manifold approach to algebraic K-theory of spaces. Using the r
ational equivalence of this space with BO\, as proved by Bökstedt\, we co
nclude that the stable Lagrangian Gauss map of L vanishes on all homotopy
groups. In particular when M is a homotopy sphere\, we obtain the triviali
ty of the stable Lagrangian Gauss map and a genuine generating function fo
r L. This is a joint work with M. Abouzaid\, S. Guillermou and T. Kragh.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sobhan Seyfaddini (IMJ-PRG)
DTSTART:20210305T141500Z
DTEND:20210305T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/41
DESCRIPTION:Title: Periodic Floer homology and the large-scale geometry of Hofer
's metric on the sphere\nby Sobhan Seyfaddini (IMJ-PRG) as part of Sym
plectic zoominar\n\n\nAbstract\nThe large-scale geometry of Hofer's has be
en studied since the 90s and has seen much progress for a large class of s
ymplectic manifolds. However\, the case of the two-sphere has remained ver
y mysterious\, especially in comparison to other surfaces. For example\, a
well-known conjecture of Kapovich and Polterovich\, from 2006\, states th
at\, on the two-sphere\, Hofer's metric is not quasi-isometric to the real
line. I will explain how invariants from periodic Floer homology can be u
sed to answer this question. Time permitting we will also discuss connecti
ons to continuous symplectic topology. This is based on joint work with Da
n Cristofaro-Gardiner and Vincent Humilière.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oleg Lazarev (Harvard)
DTSTART:20210312T141500Z
DTEND:20210312T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/42
DESCRIPTION:Title: Inverting primes in Weinstein geometry\nby Oleg Lazarev (
Harvard) as part of Symplectic zoominar\n\n\nAbstract\nA classical constru
ction in topology associates to a space $X$ and prime $p$\, a new "localiz
ed" space $X_p$ whose homotopy and homology groups are obtained from those
of $X$ by inverting $p$. In this talk\, I will discuss a symplectic anal
og of this construction\, extending work of Abouzaid-Seidel and Cieliebak-
Eliashberg on flexible Weinstein structures. Concretely\, I will produce p
rime-localized Weinstein subdomains of high-dimensional Weinstein domains
and also show that any Weinstein subdomain of a cotangent bundle agrees Fu
kaya-categorically with one of these special subdomains. The key will be t
o classify which objects of the Fukaya category of $T^{\\ast} M$ – twis
ted complexes of Lagrangians – are quasi-isomorphic to actual Lagrangian
s. This talk is based on joint work with Z. Sylvan.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Shelukhin (UdeM)
DTSTART:20210319T131500Z
DTEND:20210319T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/43
DESCRIPTION:Title: Lagrangian configurations and Hamiltonian maps\nby Egor S
helukhin (UdeM) as part of Symplectic zoominar\n\n\nAbstract\nWe study con
figurations of disjoint Lagrangian submanifolds in certain low-dimensional
symplectic manifolds from the perspective of the geometry of Hamiltonian
maps. We detect infinite-dimensional flats in the Hamiltonian group of the
two-sphere equipped with Hofer's metric\, showing in particular that this
group is not quasi-isometric to a line. This answers a well-known questio
n of Kapovich-Polterovich from 2006. We show that these flats in $Ham(S^2)
$ stabilize to certain product four-manifolds\, prove constraints on Lagra
ngian packing\, and find new instances of Lagrangian Poincare recurrence.
The technology involves Lagrangian spectral invariants with Hamiltonian te
rm in symmetric product orbifolds. This is joint work with Leonid Polterov
ich.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Huang(UIUC)/Shaoyun Bai(Princeton)/Thomas Melistas(UGA)
DTSTART:20210326T131500Z
DTEND:20210326T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/44
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Jesse Huan
g(UIUC)/Shaoyun Bai(Princeton)/Thomas Melistas(UGA) as part of Symplectic
zoominar\n\n\nAbstract\nJesse Huang(UIUC)\, Variation of FLTZ skeleta.\n\n
In this short talk\, I will discuss an interpolation of FLTZ skeleta mirro
r to derived equivalent toric varieties. This is joint work with Peng Zhou
.\n\nShaoyun Bai(Princeton)\, $SU(n)$–Casson invariants and symplectic g
eometry.\n\nIn 1985\, Casson introduced an invariant of integer homology 3
-spheres by counting $SU(2)$-representations of the fundamental groups. Th
e generalization of Casson invariant by considering Lie groups $SU(n)$ has
been long expected\, but the original construction of Casson encounters s
ome difficulties. I will present a solution to this problem\, highlighting
the equivariant symplectic geometry and Atiyah-Floer type result entering
the construction.\n\nThomas Melistas(UGA)\, The Large-Scale Geometry of O
vertwisted Contact Forms.\n\nInspired by the symplectic Banach-Mazur dista
nce\, proposed by Ostrover and Polterovich in the setting of non-degenerat
e starshaped domains of Liouville manifolds\, we define a distance on the
space of contact forms supporting a given contact structure on a closed co
ntact manifold and we use it to bi-Lipschitz embed part of the 2-dimension
al Euclidean space into the space of overtwisted contact forms supporting
a given contact structure on a smooth closed manifold.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sheel Ganatra (USC)
DTSTART:20210402T131500Z
DTEND:20210402T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/45
DESCRIPTION:Title: Categorical non-properness in wrapped Floer theory\nby Sh
eel Ganatra (USC) as part of Symplectic zoominar\n\n\nAbstract\nIn all kno
wn explicit computations on Weinstein manifolds\, the self-wrapped Floer h
omology of non-compact exact Lagrangian is always either infinite-dimensio
nal or zero. We will explain why a global variant of this observed phenome
non holds in broad generality: the wrapped Fukaya category of any Weinstei
n (or non-degenerate Liouville) manifold is always either non-proper or ze
ro\, as is any quotient thereof. Moreover any non-compact connected exact
Lagrangian is always either a "non-proper object" or zero in such a wrappe
d Fukaya category\, as is any idempotent summand thereof. We will also exa
mine where the argument could break if one drops exactness\, which is cons
istent with known computations of non-exact wrapped Fukaya categories whic
h are smooth\, proper\, and non-vanishing (e.g.\, work of Ritter-Smith).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sara Tukachinsky (IAS)
DTSTART:20210409T131500Z
DTEND:20210409T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/46
DESCRIPTION:Title: Relative quantum cohomology and other stories\nby Sara Tu
kachinsky (IAS) as part of Symplectic zoominar\n\n\nAbstract\nWe define a
quantum product on the cohomology of a symplectic manifold relative to a L
agrangian submanifold\, with coefficients in a Novikov ring. The associati
vity of this product is equivalent to an open version of the WDVV equation
s for an appropriate disk superpotential. Both structures — the quantum
product and the WDVV equations — are consequences of a more general stru
cture we call the tensor potential\, which will be the main focus of this
talk. This is joint work with Jake Solomon.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxim Jeffs/Côme Dattin/Bingyu Zhang (Harvard/Nantes/Université
Grenoble Alpes)
DTSTART:20210416T131500Z
DTEND:20210416T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/47
DESCRIPTION:Title: Three 20min research talks\nby Maxim Jeffs/Côme Dattin/B
ingyu Zhang (Harvard/Nantes/Université Grenoble Alpes) as part of Symplec
tic zoominar\n\n\nAbstract\nMirror symmetry and Fukaya categories of singu
lar varieties (Maxim Jeffs)\n\nIn this talk I will explain Auroux' definit
ion of the Fukaya category of a singular hypersurface and two results abou
t this definition\, illustrated with some examples. The first result is th
at Auroux' category is equivalent to the Fukaya-Seidel category of a Landa
u-Ginzburg model on a smooth variety\; the second result is a homological
mirror symmetry equivalence at certain large complex structure limits. I w
ill also discuss ongoing work on generalizations.\n\nWrapped sutured Legen
drian homology and the conormal of braids (Côme Dattin)\n\nIn this talk w
e will discuss invariants of sutured Legendrians. A sutured contact manifo
ld can be seen as either generalizing the contactisation of a Liouville do
main\, or as a presentation of a contact manifold with convex boundary. Us
ing the first point of view\, we define the wrapped sutured homology of Le
gendrians with boundary\, employing ideas coming from Floer theory. To ill
ustrate the second aspect\, we apply the unit conormal construction to bra
ids with two strands\, which yields a sutured Legendrian. We will show tha
t\, if the conormals of two 2-braids are Legendrian isotopic\, then the br
aids are equivalent.\n\nCapacities from the Chiu-Tamarkin complex (Bingyu
Zhang)\n\nIn this talk\, we will discuss the Chiu-Tamarkin complex. It is
a symplectic/contact invariant that comes from the microlocal sheaf theory
. I will explain how to define some capacities using the Chiu-Tamarkin com
plex in both symplectic and contact situations. The main result is the str
ucture theorem of the Chiu-Tamarkin complex of convex toric domains. Conse
quently\, we can compute the capacities of convex toric domains.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laura Starkston (UC Davis)
DTSTART:20210507T131500Z
DTEND:20210507T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/48
DESCRIPTION:Title: Unexpected fillings\, singularities\, and plane curve arrange
ments\nby Laura Starkston (UC Davis) as part of Symplectic zoominar\n\
n\nAbstract\nI will discuss joint work with Olga Plamenevskaya studying sy
mplectic fillings of links of certain complex surface singularities\, and
comparing symplectic fillings with complex smoothings. We develop characte
rizations of the symplectic fillings using planar Lefschetz fibrations and
singular braided surfaces. This provides an analogue of de Jong and van S
traten's work which characterizes the complex smoothings in terms of decor
ated complex plane curves. We find differences between symplectic fillings
and complex smoothings that had not previously been found in rational com
plex surface singularities.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Álvarez-Gavela (MIT)
DTSTART:20210514T131500Z
DTEND:20210514T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/49
DESCRIPTION:Title: Caustics of Lagrangian homotopy spheres with stably trivial G
auss map\nby Daniel Álvarez-Gavela (MIT) as part of Symplectic zoomin
ar\n\n\nAbstract\nThe h-principle for the simplification of caustics (i.e.
Lagrangian tangencies) reduces a geometric problem to a homotopical probl
em. In this talk I will explain the solution to this homotopical problem i
n the case of spheres. More precisely\, I will show that the stably trivia
l elements of the nth homotopy group of the Lagrangian Grassmannian $U_n/O
_n$\n\, which lies in the metastable range\, admit representatives with on
ly fold type tangencies. By the h-principle\, it follows that if $D$ is a
Lagrangian distribution defined along a Lagrangian homotopy sphere $L$\, t
hen there exists a Hamiltonian isotopy which simplifies the tangencies bet
ween $L$ and $D$ to consist only of folds if and only if $D$ is stably tri
vial. I will give two applications of this result\, one to the arborealiza
tion program and another to the study of nearby Lagrangian homotopy sphere
s. Joint work with David Darrow (in the form of an undergraduate research
project).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oğuz Şavk/Irene Seifert/Hang Yuan (Boğaziçi University/Heidelb
erg/Stony Brook)
DTSTART:20210528T131500Z
DTEND:20210528T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/50
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Oğuz Şav
k/Irene Seifert/Hang Yuan (Boğaziçi University/Heidelberg/Stony Brook) a
s part of Symplectic zoominar\n\n\nAbstract\n(Oğuz Şavk) Classical and n
ew plumbings bounding contractible manifolds and homology balls\n\nA centr
al problem in low-dimensional topology asks which homology 3-spheres bound
contractible 4-manifolds and homology 4-balls. In this talk\, we address
this problem for plumbed 3-manifolds and we present the classical and new
results together. Along the way\, we touch symplectic geometry by using th
e classical results of Eliashberg and Gompf. Our approach is based on Mazu
r’s famous argument which provides a unification of all results.\n\n(Ire
ne Seifert) Periodic delay orbits and the polyfold IFT\n\nDifferential del
ay equations arise very naturally\, but they are much more complicated tha
n ordinary differential equations. Polyfold theory\, originally developed
for the study of moduli spaces of pseudoholomorphic curves\, can help to u
nderstand solutions of certain delay equations. In my talk\, I will show a
n existence result about periodic delay orbits with small delay. If time p
ermits\, we can discuss possible further applications of polyfold theory t
o the differential delay equations. This is joint work with Peter Albers.\
n\n(Hang Yuan) Disk counting via family Floer theory\n\nGiven a family of
Lagrangian tori with full quantum corrections\, the non-archimedean SYZ mi
rror construction uses the family Floer theory to construct a non-archimed
ean analytic space with a global superpotential. In this talk\, we will fi
rst briefly review the construction. Then\, we will apply it to the Gross
’s fibrations. As an application\, we can compute all the non-trivial op
en GW invariants for a Chekanov-type torus in $\\mathbb{CP}^n$ or $\\mathb
b{CP}^r\\times \\mathbb{CP}^{n-r}$. When $n=2$\, $r=1$\, we retrieve the p
revious results of Auroux and Chekanov-Schlenk without finding the disks e
xplicitly. It is also compatible with the Pascaleff-Tonkonog’s work on L
agrangian mutations.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simion Filip (Chicago)
DTSTART:20210604T131500Z
DTEND:20210604T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/51
DESCRIPTION:Title: Degenerations of Kahler forms on K3 surfaces\, and some dynam
ics\nby Simion Filip (Chicago) as part of Symplectic zoominar\n\n\nAbs
tract\nK3 surfaces have a rich geometry and admit interesting holomorphic
automorphisms. As examples of Calabi-Yau manifolds\, they admit Ricci-flat
Kähler metrics\, and a lot of attention has been devoted to how these me
trics degenerate as the Kähler class approaches natural boundaries. I wil
l discuss how to use the full automorphism group to analyze the degenerati
ons and obtain certain canonical objects (closed positive currents) on the
boundary. While most of the previous work was devoted to degenerating the
metric along an elliptic fibration (motivated by the SYZ picture of mirro
r symmetry) I will discuss how to analyze all the other points. Time permi
tting\, I will also describe the construction of canonical heights on K3 s
urfaces (in the sense of number theory)\, generalizing constructions due t
o Silverman and Tate.\nJoint work with Valentino Tosatti.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francisco Presas (ICMAT)
DTSTART:20210611T131500Z
DTEND:20210611T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/52
DESCRIPTION:Title: The homotopy type of the space of tight contact structures an
d the overtwisted mirage\nby Francisco Presas (ICMAT) as part of Sympl
ectic zoominar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agustin Moreno (Uppsala)
DTSTART:20210618T131500Z
DTEND:20210618T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/53
DESCRIPTION:Title: On the spatial restricted three-body problem\nby Agustin
Moreno (Uppsala) as part of Symplectic zoominar\n\n\nAbstract\nIn his sear
ch for closed orbits in the planar restricted three-body problem\, Poincar
é’s approach roughly reduces to:\n\n(1) Finding a global surface of sec
tion\;\n(2) Proving a fixed-point theorem for the resulting return map.\n\
nThis is the setting for the celebrated Poincaré-Birkhoff theorem. In thi
s talk\, I will discuss a generalization of this program to the spatial pr
oblem.\n\nFor the first step\, we obtain the existence of global hypersurf
aces of section for which the return maps are Hamiltonian\, valid for ener
gies below the first critical value and all mass ratios. For the second\,
we prove a higher-dimensional version of the Poincaré-Birkhoff theorem\,
which gives infinitely many orbits of arbitrary large period\, provided a
suitable twist condition is satisfied. Time permitting\, we also discuss a
construction that associates a Reeb dynamics on a moduli space of holomor
phic curves (a copy of the three-sphere)\, to the given dynamics\, and its
properties.\n\nThis is based on joint work with Otto van Koert.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurent Côté (IAS/Harvard)
DTSTART:20210709T131500Z
DTEND:20210709T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/54
DESCRIPTION:Title: Action filtrations associated to smooth categorical compactif
ications\nby Laurent Côté (IAS/Harvard) as part of Symplectic zoomin
ar\n\n\nAbstract\nThere is notion of a smooth categorical compactification
of dg/A-infinity categories: for example\, a smooth compactification of a
lgebraic varieties induces a smooth categorical compactification of the as
sociated bounded dg categories of coherent sheaves. In symplectic topology
\, wrapped Fukaya categories of Weinstein manifolds admit smooth compactif
ications by partially wrapped Fukaya categories. The goal of this talk is
to explain how to associate an "action filtration" to a smooth categorical
compactifications\, which is invariant (up to appropriate equivalence) un
der zig-zags of smooth compactifications. I will then discuss applications
to symplectic topology and categorical dynamics. This talk reports on joi
nt work with Y. Baris Kartal.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Helmut Hofer (IAS)
DTSTART:20210716T131500Z
DTEND:20210716T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/55
DESCRIPTION:Title: The Floer Jungle: 35 years of Floer Theory\nby Helmut Hof
er (IAS) as part of Symplectic zoominar\n\n\nAbstract\nAn exceptionally gi
fted mathematician and an extremely complex person\, Floer exhibited\, as
one friend put it\, a "radical individuality." He viewed the world around
him with a singularly critical way of thinking and a quintessential disreg
ard for convention. Indeed\, his revolutionary mathematical ideas\, contra
dicting conventional wisdom\, could only be inspired by such impetus\, and
can only be understood in this context.\n\nPoincaré's research on the Th
ree Body Problem laid the foundations for the fields of dynamical systems
and symplectic geometry. From whence the ancestral trail follows Marston M
orse and Morse theory\, Vladimir Arnold and the Arnold conjectures\, throu
gh to breakthroughs by Yasha Eliashberg. Likewise\, Charles Conley and Edu
ard Zehnder on the Arnold conjectures\, Mikhail Gromov's theory of pseudoh
olomorphic curves\, providing a new and powerful tool to study symplectic
geometry\, and Edward Witten's fresh perspective on Morse theory. And fina
lly\, Andreas Floer\, who counter-intuitively combined all of this\, hitti
ng the "jackpot" with what is now called Floer theory.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohan Swaminathan/Ben Wormleighton/Jonathan Zung (Princeton/WashU/
Princeton)
DTSTART:20210625T131500Z
DTEND:20210625T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/56
DESCRIPTION:Title: Three short research talks of 20 min each\nby Mohan Swami
nathan/Ben Wormleighton/Jonathan Zung (Princeton/WashU/Princeton) as part
of Symplectic zoominar\n\n\nAbstract\nTalk 1: Super-rigidity and bifurcati
ons of embedded curves in \nCalabi-Yau 3-folds\n\nAbstract: I will descri
be my recent work\, joint with Shaoyun Bai\, \nwhich studies a class of b
ifurcations of moduli spaces of embedded \npseudo-holomorphic curves in s
ymplectic Calabi-Yau 3-folds and their \nassociated obstruction bundles.
As an application\, we are able to give \na direct definition of the Gopa
kumar-Vafa invariant in a special case.\n\nTalk 2: Lattice formulas for ra
tional SFT capacities of toric domain\n\nAbstract: Siegel has recently def
ined ‘higher’ symplectic capacities using rational SFT that obstruct s
ymplectic embeddings and behave well with respect to stabilisation. I will
report on joint work with Julian Chaidez that relates these capacities to
algebro-geometric invariants\, which leads to computable\, combinatorial
formulas for many convex toric domains.\n\nTalk 3: Reeb flows transverse t
o foliations\n\nAbstract: Eliashberg and Thurston showed that $C^2$ taut f
oliations on 3-manifolds can be approximated by tight contact structures.
I will explain a new approach to this theorem which allows one to control
the resulting Reeb flow and hence produce many hypertight contact structur
es. Along the way\, I will explain how harmonic transverse measures may be
used to understand the holonomy of foliations.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Felix Schlenk (UniNE)
DTSTART:20210702T131500Z
DTEND:20210702T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/57
DESCRIPTION:Title: Symplectically knotted cubes\nby Felix Schlenk (UniNE) as
part of Symplectic zoominar\n\n\nAbstract\nWhile by a result of McDuff th
e space of symplectic embeddings of a closed 4-ball into an open 4-ball is
connected\, the situation for embeddings of cubes $C^4=D^2 \\times D^2$ i
s very different. For instance\, for the open ball $B^4$ of capacity 1\, t
here exists an explicit decreasing sequence $c_1\,c_2\,\\ldots \\to 1/3$ s
uch that for $c < c_k$ there are at least k symplectic embeddings of the c
losed cube $C^4(c)$ of capacity c into $B^4$ that are not isotopic. Furthe
rmore\, there are infinitely many non-isotopic symplectic embeddings of $C
^4(1/3)$ into $B^4$.\n\nA similar result holds for several other targets\,
like the open 4-cube\, the complex projective plane\, the product of two
equal 2-spheres\, or a monotone product of such manifolds and any closed m
onotone toric symplectic manifold. \n\nThe proof uses exotic Lagrangian to
ri. \n\nThis is joint work with Joé Brendel and Grisha Mikhalkin.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Philippe Chassé (UdeM)/ Leo Digiosia (Rice)/ Rima Chatterjee
(Cologne)
DTSTART:20211008T131500Z
DTEND:20211008T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/58
DESCRIPTION:Title: Three 20 min research talks\nby Jean-Philippe Chassé (Ud
eM)/ Leo Digiosia (Rice)/ Rima Chatterjee (Cologne) as part of Symplectic
zoominar\n\n\nAbstract\nJean-Philippe Chassé (UdeM)\n\nTitle: Convergence
and Riemannian bounds on Lagrangian submanifolds\n\nAbstract: Recent year
s have seen the appearance of a plethora of possible metrics on spaces of
Lagrangian submanifolds. Indeed\, on top of the better-known Lagrangian Ho
fer metric and spectral norm\, Biran\, Cornea\, and Shelukhin have constru
cted families of so-called weighted fragmentation metrics on these spaces.
I will explain how — under the presence of bounds coming from Riemannia
n geometry — all these metrics behave well with respect to the set-theor
etic Hausdorff metric.\n\nLeo Digiosia (Rice)\n\nTitle: Cylindrical contac
t homology of links of simple singularities\nAbstract: In this talk we con
sider the links of simple singularities\, which are contactomoprhic to $S^
3/G$ for finite subgroups $G$ of $SU(2\,\\mathbb C)$. We explain how to co
mpute the cylindrical contact homology of $S^3/G$ by means of perturbing t
he canonical contact form by a Morse function that is invariant under the
corresponding rotation subgroup. We prove that the ranks are given in term
s of the number of conjugacy classes of $G$\, demonstrating a form of the
McKay correspondence. We also explain how our computation realizes the Sei
fert fiber structure of these links.\n\nRima Chatterjee (Cologne)\n\nTitle
: Cabling of knots in overtwisted contact manifolds\nAbstract: Knots assoc
iated to overtwisted manifolds are less explored. There are two types of k
nots in an overtwisted manifold – loose and non-loose. Non-loose knots a
re knots with tight complements whereas loose knots have overtwisted compl
ements. While we understand loose knots\, non-loose knots remain a mystery
. The classification and structure problems of these knots vary greatly co
mpared to the knots in tight manifolds. Especially we are interested in ho
w satellite operations on a knot in overtwisted manifold changes the geome
tric property of the knot. In this talk\, I will discuss under what condit
ions cabling operation on a non-loose knot preserves non-looseness. This i
s a joint work with Etnyre\, Min and Mukherjee.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH Aachen)
DTSTART:20211015T131500Z
DTEND:20211015T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/59
DESCRIPTION:Title: Results on abundance of global surfaces of section\nby Um
berto Hryniewicz (RWTH Aachen) as part of Symplectic zoominar\n\n\nAbstrac
t\nOne might ask if global surfaces of section (GSS) for Reeb flows in dim
ension 3 are abundant in two different senses. One might ask if GSS are ab
undant for a given Reeb flow\, or if Reeb flows carrying some GSS are abun
dant in the set of all Reeb flows. In this talk\, answers to these two que
stions in specific contexts will be presented. First\, I would like to dis
cuss a result\, obtained in collaboration with Florio\, stating that there
are explicit sets of Reeb flows on $S^3$ which are right-handed in the se
nse of Ghys\; in particular\, for such a flow all finite (non-empty) colle
ctions of periodic orbits span a GSS. Then\, I would like to discuss gener
icity results\, obtained in collaboration with Colin\, Dehornoy and Rechtm
an\, for Reeb flows carrying a GSS\; as a particular case of such results\
, we prove that a $C^\\infty$-generic Reeb flow on the tight 3-sphere carr
ies a GSS.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yakov Eliashberg (Standford)
DTSTART:20211022T131500Z
DTEND:20211022T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/60
DESCRIPTION:by Yakov Eliashberg (Standford) as part of Symplectic zoominar
\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yaniv Ganor (Technion)
DTSTART:20211029T131500Z
DTEND:20211029T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/61
DESCRIPTION:Title: Big fiber theorems and ideal-valued measures in symplectic to
pology\nby Yaniv Ganor (Technion) as part of Symplectic zoominar\n\n\n
Abstract\nIn various areas of mathematics there exist "big fiber theorems"
\, these are theorems of the following type: "For any map in a certain cla
ss\, there exists a 'big' fiber"\, where the class of maps and the notion
of size changes from case to case.\n\nWe will discuss three examples of su
ch theorems\, coming from combinatorics\, topology and symplectic topology
from a unified viewpoint provided by Gromov's notion of ideal-valued meas
ures.\n\nWe adapt the latter notion to the realm of symplectic topology\,
using an enhancement of Varolgunes’ relative symplectic cohomology to in
clude cohomology of pairs. This allows us to prove symplectic analogues fo
r the first two theorems\, yielding new symplectic rigidity results.\n\nNe
cessary preliminaries will be explained.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rohil Prasad (Princeton)/ Alex Pieloch (Columbia)/ Chi Hong Chow (
CUHK)
DTSTART:20211105T131500Z
DTEND:20211105T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/62
DESCRIPTION:Title: Three 20 min research talks\nby Rohil Prasad (Princeton)/
Alex Pieloch (Columbia)/ Chi Hong Chow (CUHK) as part of Symplectic zoomi
nar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Gironella (HU Berlin)
DTSTART:20211119T141500Z
DTEND:20211119T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/63
DESCRIPTION:Title: Exact orbifold fillings of contact manifolds\nby Fabio Gi
ronella (HU Berlin) as part of Symplectic zoominar\n\n\nAbstract\nThe topi
c of the talk will be Floer theories on exact symplectic orbifolds with sm
ooth contact boundary. More precisely\, I will first describe the construc
tion\, which only uses classical transversality techniques\, of a symplect
ic cohomology group on such symplectic orbifolds. Then\, I will give some
geometrical applications\, such as restrictions on possible singularities
of exact symplectic fillings of some particular contact manifolds\, and th
e existence\, in any odd dimension at least 5\, of a pair of contact manif
olds with no exact symplectic (smooth) cobordisms in either direction. Thi
s is joint work with Zhengyi Zhou.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Urs Frauenfelder (Augsburg)
DTSTART:20211210T141500Z
DTEND:20211210T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/64
DESCRIPTION:Title: GIT quotients and Symplectic data analysis\nby Urs Frauen
felder (Augsburg) as part of Symplectic zoominar\n\n\nAbstract\nThis is jo
int work with Agustin Moreno and Dayung Koh. The restricted three-body pro
blem is invariant under various antisymplectic involutions. These real str
uctures give rise to the notion of symmetric periodic orbits which simulta
neously have a closed string interpretation namely as a\nperiodic orbit as
well as an open string interpretation as Hamiltonian chords. This makes t
he bifurcation analysis of symmetric periodic orbits very intriguing since
under bifurcations two local Floer homologies are invariant\, the periodi
c one as well as the Lagrangian one. In this talk we explain how methods f
rom symmetric space theory can help to extract efficiently datas from redu
ced monodromy matrices of periodic orbits helping to analyse the possible
bifurcation patterns.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohammed Abouzaid (Columbia)
DTSTART:20211126T141500Z
DTEND:20211126T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/65
DESCRIPTION:Title: Complex cobordism and Hamiltonian fibrations\nby Mohammed
Abouzaid (Columbia) as part of Symplectic zoominar\n\n\nAbstract\nI will
discuss joint work with McLean and Smith\, lifting the results of Seidel\,
Lalonde\, McDuff\, and Polterovich concerning the topology of Hamiltonian
fibrations over the 2-sphere from rational cohomology to complex cobordis
m. In addition to the use of Morava K-theory (as in the recent work with B
lumberg on the Arnold Conjecture)\, the essential new ingredient is the co
nstruction of global Kuranishi charts for genus 0 pseudo-holomorphic curve
s\; i.e. their realisation as quotients of zero loci of sections of equiva
riant vector bundles on manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:three short research talks. (Wenyuan Li (Northwestern)/Jakob Hedic
ke (Bochum)/Johan Asplund (Uppsala))
DTSTART:20211217T141500Z
DTEND:20211217T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/66
DESCRIPTION:by three short research talks. (Wenyuan Li (Northwestern)/Jako
b Hedicke (Bochum)/Johan Asplund (Uppsala)) as part of Symplectic zoominar
\n\n\nAbstract\nWenyuan Li (Northwestern)\nTitle: Estimating Reeb chords u
sing microlocal sheaf theory\n\nAbstract: We show that\, for closed Legend
rians in 1-jet bundles\, when there is a sheaf with singular support on th
e Legendrian\, then (1) its self Reeb chords are bounded from below by hal
f the sum of Betti numbers\, and (2) the Reeb chords between itself and it
s Hamiltonian push off is bounded from below by Betti numbers when the C^0
-norm of the Hamiltonian is small. I will show how to visualize Reeb chord
s/Lagrangian intersections in sheaf theory\, and then explain the duality
exact triangle and the persistence structure used in the proof. If time pe
rmits\, I will state a conjecture on the relative Calabi-Yau structure tha
t arises from the duality exact triangle.\n\nJakob Hedicke (Bochum)\nTitle
: Lorentzian distance functions on the group of contactomorphisms\n\nAbstr
act: The notion of positive (non-negative) contact isotopy\, defined by El
iashberg and Polterovich\, leads to two relations on the group of contacto
morphisms. These relations resemble the causal relations of a Lorentzian m
anifold. In this talk we will introduce a class of Lorentzian distance fun
ctions on the group of contactomorphisms\, that are compatible with these
relations.\nThe Lorentzian distance functions turn out to be continuous wi
th respect to the Hofer-norm of a contactomorphism defined by Shelukhin.\n
\nJohan Asplund (Uppsala)\nTitle: Simplicial descent for Chekanov-Eliashbe
rg dg-algebras\n\nAbstract: In this talk we introduce a type of surgery de
composition of Weinstein manifolds we call simplicial decompositions. We w
ill discuss the result that the Chekanov-Eliashberg dg-algebra of the atta
ching spheres of a Weinstein manifold satisfies a descent (cosheaf) proper
ty with respect to a simplicial decomposition. Simplicial decompositions g
eneralize the notion of Weinstein connected sum and there is in fact a one
-to-one correspondence (up to Weinstein homotopy) between simplicial decom
positions and so-called good sectorial covers. The motivation behind these
results is the sectorial descent result for wrapped Fukaya categories by
Ganatra-Pardon-Shende.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Sullivan (UMass Amherst)
DTSTART:20220114T141500Z
DTEND:20220114T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/67
DESCRIPTION:Title: Quantitative Legendrian geometry\nby Michael Sullivan (UM
ass Amherst) as part of Symplectic zoominar\n\n\nAbstract\nI will discuss
some quantitative aspects for Legendrians in a (more or less) general cont
act manifold. These include lower bounds on the number of Reeb chords betw
een a Legendrian and its contact Hamiltonian image\, the non-degeneracy of
the Chekanov/Hofer/Shelukhin Legendrian metric\, and some 3-dimensional n
on-squeezing results. The main tool is the barcode of a relative Rabinowit
z Floer theory. This is joint work with Georgios Dimitroglou Rizell.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ely Kerman (UIUC)
DTSTART:20220211T141500Z
DTEND:20220211T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/68
DESCRIPTION:Title: On symplectic capacities and their blind spots\nby Ely Ke
rman (UIUC) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk I w
ill discuss a joint project with Yuanpu Liang in which we establish severa
l properties of the sequence of symplectic capacities defined by Gutt and
Hutchings for star-shaped domains using $S^1$-equivariant symplectic homol
ogy. Among the results discussed will be the fact that\, unlike the first
of these capacities\, the others all fail to satisfy the symplectic versio
n of the Brunn Minkowski established by Artstein-Avidan and Ostrover. We a
lso show that the Gutt-Hutchings capacities\, together with the volume\, d
o not constitute a complete set of symplectic invariants even for convex b
odies with smooth boundary. The examples constructed to prove these result
s are not exotic. They are convex and concave toric domains. The main new
tool used is a significant simplification of the formulae of Gutt and Hutc
hings for the capacities of such domains\, that holds under an additional
symmetry assumption. This allows us to compute the capacities in new examp
les and to identify and exploit blind spots that they sometimes share.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Connery-Grigg (UdeM)/Pazit Haim-Kislev (Tel Aviv)/ Thibaut
Mazuir (Paris)
DTSTART:20220128T141500Z
DTEND:20220128T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/69
DESCRIPTION:Title: Three 20 min research talks\nby Dustin Connery-Grigg (Ude
M)/Pazit Haim-Kislev (Tel Aviv)/ Thibaut Mazuir (Paris) as part of Symplec
tic zoominar\n\n\nAbstract\n$\\textbf{Dustin Connery-Grigg (UdeM)}$\n\nTit
le: Geometry and topology of Hamiltonian Floer complexes in low-dimension\
n\nIn this talk\, I will present two results relating the qualitative dyna
mics of non-degenerate Hamiltonian isotopies on surfaces to the structure
of their Floer complexes. The first will be a topological characterization
of those Floer chains which represent the fundamental class in $CF_*(H\,J
)$ and which moreover lie in the image of some chain-level PSS map. This l
eads to a novel symplectically bi-invariant norm on the group of Hamiltoni
an diffeomorphisms\, which is both $C^0$-continuous and computable in term
s of the underlying dynamics. The second result explains how certain porti
ons of the Hamiltonian Floer chain complex may be interpreted geometricall
y in terms of positively transverse singular foliations of the mapping tor
us\, with singular leaves given by certain maximal collections of unlinked
orbits of the suspended flow. This construction may be seen to provide a
Floer-theoretic construction of the `torsion-low’ foliations which appea
r in Le Calvez’s theory of transverse foliations for surface homeomorphi
sms\, thereby establishing a bridge between the two theories.\n\n$\\textbf
{Pazit Haim-Kislev (Tel Aviv)}$\n\nTitle: Symplectic capacities of p-produ
cts\n\nAbstract:\nA generalization of the cartesian product and the free s
um of two convex domains is the p-product operation. We investigate the be
havior of symplectic capacities with respect to symplectic p-products\, an
d we give applications related to Viterbo's volume-capacity conjecture and
to p-decompositions of the symplectic ball.\n\n$\\textbf{Thibaut Mazuir (
Paris)}$\n\nTitle: Higher algebra of A-infinity algebras in Morse theory\n
\nIn this short talk\, I will introduce the notion of n-morphisms between
two A-infinity algebras. These higher morphisms are such that 0-morphisms
correspond to standard A-infinity morphisms and 1-morphisms correspond to
A-infinity homotopies. Their combinatorics are then encoded by new familie
s of polytopes\, which I call the n-multiplihedra and which generalize the
standard multiplihedra. Elaborating on works by Abouzaid and Mescher\, I
will then explain how this higher algebra of A-infinity algebras naturally
arises in the context of Morse theory\, using moduli spaces of perturbed
Morse gradient trees\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marie-Claude Arnaud (Paris)
DTSTART:20220304T141500Z
DTEND:20220304T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/70
DESCRIPTION:Title: Invariant submanifolds for conformal dynamics\nby Marie-C
laude Arnaud (Paris) as part of Symplectic zoominar\n\n\nAbstract\nIn a wo
rk with Jacques Fejoz\, we consider the conformal dynamics on a symplectic
manifold\, i.e. for which the symplectic form is transformed colinearly t
o itself. In the non-symplectic case\, we study the problem of isotropy an
d uniqueness of invariant submanifolds. More precisely\, in this talk\, I
will explain a relation between topological entropy and isotropy and some
uniqueness results.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benoît Joly (Bochum)/Marco Castronovo (Columbia)/Agniva Roy (Geor
gia Tech)
DTSTART:20220325T131500Z
DTEND:20220325T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/71
DESCRIPTION:Title: Three 20 min research talks\nby Benoît Joly (Bochum)/Mar
co Castronovo (Columbia)/Agniva Roy (Georgia Tech) as part of Symplectic z
oominar\n\n\nAbstract\nBenoît Joly (Bochum)\n\nTitle: Barcodes for Hamilt
onian homeomorphisms of surfaces\n\nAbstract: In this talk\, we will study
the Floer Homology barcodes from a dynamical point of view. Our motivatio
n comes from recent results in symplectic topology using barcodes to obtai
n dynamical results. We will give the ideas of new constructions of barcod
es for Hamiltonian homeomorphisms of surfaces using Le Calvez's transverse
foliation theory. The strategy consists in copying the construction of th
e Floer and Morse Homologies using dynamical tools like Le Calvez's foliat
ions.\n\nMarco Castronovo (Columbia)\n\nTitle: Polyhedral Liouville domain
s\n\nAbstract: I will explain the construction of a new class of Liouville
domains that live in a complex torus of arbitrary dimension\, whose bound
ary dynamics encodes information about the singularities of a toric compac
tification. The primary motivation for this work is to find a symplectic i
nterpretation of some curious Laurent polynomials that appear in mirror sy
mmetry for Fano manifolds\; it also potentially opens a path to bound symp
lectic capacities of polarized projective varieties from below.\n\nAgniva
Roy (Georgia Tech)\n\nTitle: Constructions of High Dimensional Legendrians
and Isotopies\n\nAbstract: I will talk about an ongoing project that expl
ores the construction of high dimensional Legendrian spheres from supporti
ng open books and contact structures. The input is a Lagrangian disk filli
ng of a Legendrian knot in the binding. We try to understand the relations
hip between different constructions from the same input\, and suggest para
llels\, in the $S^{2n+1}$ case\, to a construction defined by Ekholm for $
\\mathbb R^{2n+1}$.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susan Tolman (UIUC)
DTSTART:20220121T141500Z
DTEND:20220121T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/72
DESCRIPTION:Title: Beyond semitoric\nby Susan Tolman (UIUC) as part of Sympl
ectic zoominar\n\n\nAbstract\nA compact four dimensional completely integr
able system $f:M\\rightarrow \\mathbb R^2$ is semitoric if it has only non
-degenerate singularities\, without hyperbolic blocks\, and one of the com
ponents of generates a circle action. Semitoric systems have been extensi
vely studied and have many nice properties: for example\, the preimages $f
^{-1}(x)$ are all connected. Unfortunately\, although there are many inter
esting examples of semitoric systems\, the class has some limitation. For
example\, there are blowups of $S^2\\times S^2$ with Hamiltonian circle ac
tions which cannot be extended to semitoric systems. We expand the class o
f semitoric systems by allowing certain degenerate singularities\, which w
e call ephemeral singularities. We prove that the preimage $f^{-1}(x)$ is
still connected for this larger class. We hope that this class will be lar
ge enough to include not only all compact four manifolds with Hamiltonian
circle actions\, but more generally all complexity one spaces. Based on jo
int work with D. Sepe.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erman Cineli (Paris)
DTSTART:20220225T141500Z
DTEND:20220225T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/73
DESCRIPTION:Title: Topological entropy of Hamiltonian diffeomorphisms: a persist
ence homology and Floer theory perspective\nby Erman Cineli (Paris) as
part of Symplectic zoominar\n\n\nAbstract\nIn this talk I will introduce
barcode entropy and discuss its connections to topological entropy. The ba
rcode entropy is a Floer-theoretic invariant of a compactly supported Hami
ltonian diffeomorphism\, measuring\, roughly speaking\, the exponential gr
owth under iterations of the number of not-too-short bars in the barcode o
f the Floer complex. The topological entropy bounds from above the barcode
entropy and\, conversely\, the barcode entropy is bounded from below by t
he topological entropy of any hyperbolic locally maximal invariant set. As
a consequence\, the two quantities are equal for Hamiltonian diffeomorphi
sms of closed surfaces. The talk is based on a joint work with Viktor Ginz
burg and Basak Gurel.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgunes (Boğaziçi)
DTSTART:20220218T141500Z
DTEND:20220218T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/74
DESCRIPTION:Title: Reynaud models from relative Floer theory\nby Umut Varolg
unes (Boğaziçi) as part of Symplectic zoominar\n\n\nAbstract\nI will sta
rt by explaining the construction of a formal scheme starting with an inte
gral affine manifold $Q$ equipped with a decomposition into Delzant polyto
pes. This is a weaker and more elementary version of degenerations of abel
ian varieties originally constructed by Mumford. Then I will reinterpret t
his construction using the corresponding Lagrangian torus fibration $X\\ri
ghtarrow Q$ and relative Floer theory of its canonical Lagrangian section.
Finally\, I will discuss a conjectural generalization of the story to sym
plectic degenerations of CY symplectic manifolds to normal crossing symple
ctic varieties whose components are log CY.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton Izosimov (Arizona)
DTSTART:20220318T131500Z
DTEND:20220318T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/75
DESCRIPTION:by Anton Izosimov (Arizona) as part of Symplectic zoominar\n\n
Abstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yann Rollin (Nantes)
DTSTART:20220408T131500Z
DTEND:20220408T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/76
DESCRIPTION:Title: Lagrangians\, symplectomorphisms and zeroes of moment maps\nby Yann Rollin (Nantes) as part of Symplectic zoominar\n\n\nAbstract\nI
will present two constructions of Kähler manifolds\, endowed with Hamilt
onian torus actions of infinite dimension. In the first example\, zeroes o
f the moment map are related to isotropic maps from a surface in $\\math
bb R^{2n}$. In the second example\, which is actually a hyperKähler momen
t map\, the zeroes are related to symplectic maps of the torus $\\mathbb T
^4$. The corresponding modified moment map flows have short-time existence
. Polyhedral analogues of these constructions can be used to investigate p
iecewise linear symplectic geometry.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kyler Siegel (USC)
DTSTART:20220415T131500Z
DTEND:20220415T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/77
DESCRIPTION:Title: Singular plane curves and stable nonsqueezing phenomena\n
by Kyler Siegel (USC) as part of Symplectic zoominar\n\n\nAbstract\nThe ex
istence of rational plane curves of a given degree with prescribed singula
rities is a subtle and active area in algebraic geometry. This problem tur
ns out to be closely related to difficult enumerative problems which arise
in symplectic field theory\, which in turn play a central role in the the
ory of high dimensional symplectic embeddings. In this talk I will discuss
various perspectives on these enumerative problems and present a new clos
ed formula for relevant curve counts as a sum over decorated trees.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Smith (Cambridge)
DTSTART:20220422T131500Z
DTEND:20220422T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/78
DESCRIPTION:Title: From Floer to Hochschild via matrix factorisations\nby Ja
ck Smith (Cambridge) as part of Symplectic zoominar\n\n\nAbstract\nAbstrac
t:\nThe Hochschild cohomology of the Floer algebra of a Lagrangian L\, and
the associated closed-open string map\, play an important role in the gen
eration criterion for the Fukaya category and in deformation theory approa
ches to mirror symmetry. I will explain how\, in the monotone setting\, on
e can build a map from the Floer cohomology of L with certain local coeffi
cients to (a version of) Hochschild cohomology. This map makes things much
more geometric\, by transferring the algebraic complexity to the world of
matrix factorisations\, and is an isomorphism when L is a torus.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joel Fine (ULB)
DTSTART:20220429T131500Z
DTEND:20220429T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/79
DESCRIPTION:Title: nots\, minimal surfaces and J-holomorphic curves\nby Joel
Fine (ULB) as part of Symplectic zoominar\n\n\nAbstract\nLet $K$ be a kno
t or link in the 3-sphere\, thought of as the ideal boundary of hyperbolic
4-space\, \n$H^4$. The main theme of my talk is that it should be possibl
e to count minimal surfaces in $H^4$\nwhich fill $K$ and obtain a link inv
ariant. In other words\, the count doesn’t change under isotopies of $K$
. When one counts minimal disks\, this is a theorem. Unfortunately there i
s currently a gap in the proof for more complicated surfaces. I will expla
in “morally” why the result should be true and how I intend to fill th
e gap. In fact\, this (currently conjectural) invariant is a kind of Gromo
v–Witten invariant\, counting $J$-holomorphic curves in a certain symple
ctic 6-manifold diffeomorphic to $S^4\\times H^4$. The symplectic structur
e becomes singular at infinity\, in directions transverse to the $S^2$ fib
res. These singularities mean that both the Fredholm and compactness theor
ies have fundamentally new features\, which I will describe. Finally\, the
re is a whole class of infinite-volume symplectic 6-manifolds which have s
ingularities modelled on the above situation. I will explain how it should
be possible to count $J$-holomorphic curves in these manifolds too\, and
obtain invariants for links in other 3-manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Ruck (Augsburg)
DTSTART:20220506T131500Z
DTEND:20220506T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/80
DESCRIPTION:Title: Tate homology and powered flybys\nby Kevin Ruck (Augsburg
) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk I want to sho
w that in the planar circular restricted three body problem there are infi
nitely many symmetric consecutive collision orbits for all energies below
the first critical energy value. By using the Levi-Civita regularization w
e will be able to distinguish between two different orientations of these
orbits and prove the above claim for both of them separately. In the first
part of the talk I want to explain the motivation behind this result\, es
pecially its connection to powered flybys. Afterwards I will introduce the
main technical tools\, one needs to prove the above statement\, like Lagr
angian Rabinowitz Floer Homology and its $G$-equivariant version. To be ab
le to effectively calculate this $G$-equivariant Lagrangian RFH\, we will
relate it to the Tate homology of the group $G$. With this tool at hand we
will then finally be able to prove that there are infinitely many consecu
tive collision orbits all facing in a specific direction.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Rudolf (Bochum)/Miguel Pereira (Augsburg)/Maksim Stokić (T
el Aviv)
DTSTART:20220527T131500Z
DTEND:20220527T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/81
DESCRIPTION:Title: Three 20min research talks\nby Daniel Rudolf (Bochum)/Mig
uel Pereira (Augsburg)/Maksim Stokić (Tel Aviv) as part of Symplectic zoo
minar\n\n\nAbstract\nDaniel Rudolf (Bochum)\n\nTitle: Viterbo‘s conjectu
re for Lagrangian products in $\\mathbb R^4$\n\nAbstract:\nWe show that Vi
terbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian products
in $\\mathbb R^4$ holds for all Lagrangian products (any trapezoid in $\\
mathbb R^2$)x(any convex body in $\\mathbb R^2$). Moreover\, we classify a
ll equality cases of Viterbo’s conjecture within this configuration and
show which of them are symplectomorphic to a Euclidean ball. As by-product
\, we conclude sharp systolic Minkowski billiard inequalities for geometri
es which have trapezoids as unit balls. Finally\, we show that the flows a
ssociated to the above mentioned equality cases (which are polytopes) sati
sfy a weak Zoll property\, namely\, that every characteristic that is almo
st everywhere away from lower-dimensional faces is closed\, runs over exac
tly 8 facets\, and minimizes the action.\n\n\nMiguel Pereira (Augsburg)\n\
nTitle: The Lagrangian capacity of toric domains\n\nAbstract:\nIn this tal
k\, I will state a conjecture giving a formula for the Lagrangian capacity
of a convex or concave toric domain. First\, I will explain a proof of th
e conjecture in the case where the toric domain is convex and 4-dimensiona
l\, using the Gutt-Hutchings capacities as well as the McDuff-Siegel capac
ities. Second\, I will explain a proof of the conjecture in full generalit
y\, but assuming the existence of a suitable virtual perturbation scheme w
hich defines the curve counts of linearized contact homology. This second
proof makes use of Siegel's higher symplectic capacities.\n\nMaksim Stoki
ć (Tel Aviv)\n\nTitle: $C^0$ contact geometry of isotropic submanifolds\n
\nAbstract: A homeomorphism is called contact if it can be written as a $C
^0$-limit of contactomorphisms. The contact version of Eliashberg-Gromov r
igidity theorem states that smooth contact homeomorphisms preserve the con
tact structure. A submanifold $L$ of a contact manifold $(Y\,\\xi)$ is cal
led isotropic if $\\xi\\vert_{TL}=0$. Isotropic submanifolds of maximal di
mension are called Legendrian\, otherwise we call them subcritical isotrop
ic. In this talk\, we will try to answer whether the isotropic property is
preserved by contact homeomorphisms. It is expected that subcritical isot
ropic submanifolds are flexible\, while we expect that Legendrians are rig
id. We show that subcritical isotropic curves are flexible\, and we give a
new proof of the rigidity of Legendrians in dimension 3. Moreover\, we pr
ovide a certain type of rigidity of Legendrians in higher dimensions.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claude Viterbo (Paris)
DTSTART:20220520T131500Z
DTEND:20220520T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/82
DESCRIPTION:Title: Gamma-support\, gamma-coisotropic subsets and applications\nby Claude Viterbo (Paris) as part of Symplectic zoominar\n\n\nAbstract\
nTo an element in the completion of the set of Lagrangians for the spectra
l distance we associate a support. We show that such a support is $\\gamma
$-coisotropic (a notion we shall define in the talk) and we shall give exa
mples and counterexamples of $\\gamma$-coisotorpic sets that can be (or ca
nnot be) $\\gamma$-supports. Finally we give some applications of these no
tions to singular support of sheaves (joint work with S. Guillermou) and d
issipative dynamics\, allowing us to extend the notion of Birkhoff attract
or (joint with V. Humilière).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guangbo Xu (Texas A&M)
DTSTART:20220603T131500Z
DTEND:20220603T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/83
DESCRIPTION:Title: Integer-valued Gromov-Witten type invariants\nby Guangbo
Xu (Texas A&M) as part of Symplectic zoominar\n\n\nAbstract\nAbstract:\n\n
Gromov-Witten invariants for a general target are rational-valued but not
necessarily integer-valued. This is due to the contribution of curves with
nontrivial automorphism groups. In 1997 Fukaya and Ono proposed a new met
hod in symplectic geometry which can count curves with a trivial automorph
ism group. While ordinary Gromov-Witten invariants only use the orientatio
n on the moduli spaces\, this integer-valued counts are supposed to also u
se the (stable) complex structure on the moduli spaces. In this talk I wil
l present the recent joint work with Shaoyun Bai in which we rigorously de
fined the integer-valued Gromov-Witten type invariants in genus zero for a
symplectic manifold. This talk is based on the preprint https://arxiv.org
/abs/2201.02688.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoel Groman (HUJI)
DTSTART:20220617T131500Z
DTEND:20220617T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/84
DESCRIPTION:Title: Locality and deformations in relative symplectic cohomology\nby Yoel Groman (HUJI) as part of Symplectic zoominar\n\n\nAbstract\nRe
lative symplectic cohomology is a Floer theoretic invariant associated wit
h compact subsets K of a closed or geometrically bounded symplectic manifo
ld M. The motivation for studying it is that it is often possible to reduc
e the study of global Floer theory of M to the Floer theory of a handful o
f local models covering M which one hopes will be easier to compute (Varol
gunes’ spectral sequence). As an example\, it is expected that at least
in the setting of the Gross-Siebert program\, the mirror can be pieced tog
ether from the relative symplectic cohomologies of neighborhoods of fibers
of an SYZ fibration (singular or not). However\, even when K is a well un
derstood model\, such as the Weinstein neighborhood of a Lagrangian torus\
, the construction of relative SH is rather unwieldy. In particular\, it i
s not entirely obvious how to relate the symplectic cohomology of K relati
ve to M with Floer theoretic invariants intrinsic to K. I will discuss a n
umber of results\, most of them in preparation\, which aim to alleviate th
is difficulty in the setting Lagrangian torus fibrations with singularitie
s. Partly joint with U. Varolgunes.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julian Chaidez (IAS/PU)
DTSTART:20220624T131500Z
DTEND:20220624T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/85
DESCRIPTION:Title: The Ruelle invariant and convexity in higher dimensions\n
by Julian Chaidez (IAS/PU) as part of Symplectic zoominar\n\n\nAbstract\nI
will explain how to construct the Ruelle invariant of a symplectic cocycl
e over an arbitrary measure preserving flow. I will provide examples and c
omputations in the case of Hamiltonian flows and Reeb flows (in particular
\, for toric domains). As an application of this invariant\, I will constr
uct toric examples of dynamically convex domains that are not symplectomor
phic to convex ones in any dimension.\n\nThis talk is based on joint works
arXiv:2012.12869 and arXiv:2205.00935 with Oliver Edtmair.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Mailhot/Nicole Magill/Ofir Karin (UdeM/Cornell/Te
l Aviv)
DTSTART:20221028T131500Z
DTEND:20221028T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/86
DESCRIPTION:Title: three 20 min research talks\nby Pierre-Alexandre Mailhot/
Nicole Magill/Ofir Karin (UdeM/Cornell/Tel Aviv) as part of Symplectic zoo
minar\n\n\nAbstract\nPierre-Alexandre Mailhot (UdeM)\n\nTitle: The spectra
l diameter of a Liouville domains and its applications\n\nAbstract: The sp
ectral norm provides a lower bound to the Hofer norm. It is thus natural t
o ask whether the diameter of the spectral norm is finite or not. During t
his short talk\, I will give a sketch of the proof that\, in the case of L
iouville domains\, the spectral diameter is finite if and only if the symp
lectic cohomology of the underlying manifold vanishes. With that relations
hip in hand\, we will explore applications to symplecticaly aspherical sym
plectic manifolds and Hofer geometry.\n\nNicole Magill (Cornell)\n\nTitle:
A correspondence between obstructions and constructions for staircases in
Hirzebruch surfaces\n\nAbstract: The ellipsoidal embedding function of a
symplectic four manifold M measures how much the symplectic form on M must
be dilated in order for it to admit an embedded ellipsoid of some eccentr
icity. It generalizes the Gromov width and ball packing numbers. In most c
ases\, finitely many obstructions besides the volume determine the functio
n. If there are infinitely many obstructions determining the function\, M
is said to have an infinite staircase. This talk will give a classificatio
n of which Hirzebruch surfaces have infinite staircases. We will focus on
explaining the correspondence between the obstructions coming from excepti
onal classes and the constructions from almost toric fibrations. We define
a way to mutate triples of exceptional classes to produce new triples of
exceptional classes\, which corresponds to mutations in almost toric fibra
tions. This is based on various joint work with Dusa McDuff\, Ana Rita Pir
es\, and Morgan Weiler.\n\nOfir Karin (Tel Aviv)\n\nTitle: Approximation o
f Generating Function Barcode for HamiltonianDiffeomorphisms\n\nAbstract:
Persistence modules and barcodes are used in symplectic topology to define
new invariants of Hamiltonian diffeomorphisms\, however methods that expl
icitly calculate these barcodes are often unclear. In this talk I will def
ine one such invariant called the GF-barcode of compactly supported Hamilt
onian diffeomorphisms of $\\mathbb R^{2n}$ by applying Morse theory to gen
erating functions quadratic at infinity associated to such Hamiltonian dif
feomorphisms and provide an algorithm (i.e a finite sequence of explicit c
alculation steps) that approximates it along with a few computation exampl
es. This is joint work with Pazit Haim-Kislev.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/86/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ipsita Datta (IAS)
DTSTART:20221104T131500Z
DTEND:20221104T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/87
DESCRIPTION:by Ipsita Datta (IAS) as part of Symplectic zoominar\n\nAbstra
ct: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/87/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roger Casals (UC Davis)
DTSTART:20221111T141500Z
DTEND:20221111T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/88
DESCRIPTION:by Roger Casals (UC Davis) as part of Symplectic zoominar\n\nA
bstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/88/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yash Deshmukh (Columbia)/Lea Kenigsberg (Columbia)/Thomas Massoni
(Princeton)
DTSTART:20221125T141500Z
DTEND:20221125T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/89
DESCRIPTION:Title: three 20 min research talks\nby Yash Deshmukh (Columbia)/
Lea Kenigsberg (Columbia)/Thomas Massoni (Princeton) as part of Symplectic
zoominar\n\n\nAbstract\nYash Deshmukh (Columbia)\n\nTitle: Moduli spaces
of nodal curves from homotopical algebra\n\nAbstract: I will discuss how t
he Deligne-Mumford compactification of curves arises from the uncompactifi
ed moduli spaces of curves as a result of some algebraic operations relate
d to (pr)operadic structures on the moduli spaces. I will describe how a v
ariation of this naturally gives rise to another new partial compactificat
ion of moduli spaces curves. Time permitting\, I will indicate how it is r
elated to secondary operations on symplectic cohomology and discuss some o
ngoing work in this direction.\n\nLea Kenigsberg (Columbia)\n\nTitle: Copr
oduct structures\, a tale of two outputs\n\nAbstract: I will motivate the
study of coproducts and describe a new coproduct structure on the symplect
ic cohomology of Liouville manifolds. Time permitting\, I will indicate ho
w to compute it in an example to show that it's not trivial. This is based
on my thesis work\, in progress.\n\nThomas Massoni (Princeton)\n\nTitle:
Non-Weinstein Liouville domains and three-dimensional Anosov flows\n\nAbst
ract: Weinstein domains and their symplectic invariants have been extensiv
ely studied over the last 30 years. Little is known about non-Weinstein Li
ouville domains\, whose first instance is due to McDuff. I will describe t
wo key examples of such domains in dimension four\, and then explain how t
hey fit into a general construction based on Anosov flows on three-manifol
ds. The symplectic invariants of these “Anosov Liouville domains” cons
titute new invariants of Anosov flows. The algebraic structure of their wr
apped Fukaya categories is in stark contrast with the Weinstein case.\n\nT
his is mostly based on joint work arXiv:2211.07453 with Kai Cieliebak\, Ol
eg Lazarev and Agustin Moreno.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/89/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Cardona (ICMAT)
DTSTART:20221209T141500Z
DTEND:20221209T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/90
DESCRIPTION:Title: Periodic orbits and Birkhoff sections of stable Hamiltonian s
tructures\nby Robert Cardona (ICMAT) as part of Symplectic zoominar\n\
n\nAbstract\nAbstract:\n\nIn this talk\, we start by reviewing recent resu
lts on the dynamics of Reeb vector fields defined by contact forms on thre
e-dimensional manifolds\, and then introduce Reeb fields defined by stable
Hamiltonian structures. These are more general and arise\, for instance\,
in stable regular energy level sets of Hamiltonian systems. We give a cha
racterization of Reeb fields that are aperiodic or that have finitely many
periodic orbits (under a certain nondegeneracy assumption). Finally\, we
give sufficient conditions for the existence of an adapted broken book dec
omposition or the existence of a Birkhoff section. This is joint work with
A. Rechtman.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/90/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shaoyun Bai (SCGP)
DTSTART:20230120T141500Z
DTEND:20230120T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/91
DESCRIPTION:Title: Arnold conjecture over integers\nby Shaoyun Bai (SCGP) as
part of Symplectic zoominar\n\n\nAbstract\nWe show that for any closed sy
mplectic manifold\, the number of 1-periodic orbits of any non-degenerate
Hamiltonian is bounded from below by a version of total Betti number over
Z\, which takes account of torsions of all characteristics. The proof reli
es on an abstract perturbation scheme (FOP perturbations) which allows us
to produce integral pseudo-cycles from moduli space of J-holomorphic curve
s\, and a geometric regularization scheme for moduli space of Hamiltonian
Floer trajectories generalizing the recent work of Abouzaid-McLean-Smith.
I will survey these ideas and indicate potential future developments. This
is joint work with Guangbo Xu.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/91/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semon Rezchikov (Princeton/IAS)
DTSTART:20230127T141500Z
DTEND:20230127T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/92
DESCRIPTION:Title: Hyperbolicity of periodic points of Hamiltonian maps\nby
Semon Rezchikov (Princeton/IAS) as part of Symplectic zoominar\n\n\nAbstra
ct\nTitle: Hyperbolicity of periodic points of Hamiltonian maps\n\nAbstrac
t:\nThe basic invariant of a fixed point of a Hamiltonian diffeomorphism\,
besides its existence (which is implied by the proven Arnol'd Conjecture)
\, is the number of eigenvalues of unit norm of the linearization of the m
ap at the fixed point. When there are no such eigenvalues\, the fixed poin
t is said to be purely hyperbolic\, and has characteristically different l
ocal dynamics from the contrasting partially elliptic case. In this talk\,
I will discuss how period doubling bifurcations can be used to make perio
dic points purely hyperbolic without appreciably changing Floer-theoretic
invariants. Via a limiting process one can approximate Hamiltonian diffeom
orphisms by hameomorphisms which behave as if they have only hyperbolic pe
riodic points. We will review the dynamical background for such constructi
ons\, and if time permits\, discuss upper and lower bounds on the growth r
ate of periodic points of these hameomorphisms\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/92/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcelo Alves (UAntwerp)
DTSTART:20221216T141500Z
DTEND:20221216T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/93
DESCRIPTION:Title: Hofer's geometry and braid stability\nby Marcelo Alves (U
Antwerp) as part of Symplectic zoominar\n\n\nAbstract\nThe Hofer’s metri
c $d_H$ is a remarkable bi-invariant metric on the group of Hamiltonian di
ffeomorphisms of a symplectic manifold. In my talk\, I will explain a resu
lt\, obtained jointly with Matthias Meiwes\, which says that the braid typ
e of a set of periodic orbits of a Hamiltonian diffeomorphism on a closed
surface is stable under perturbations that are sufficiently small with res
pect to Hofer’s metric. As a consequence of this we obtained that the to
pological entropy\, seen as a function on the space of Hamiltonian diffeom
orphisms of a closed surface\, is lower semi-continuous with respect to th
e Hofer metric $d_H$. \n\nIf time permits\, I will explain related questi
ons for Reeb flows on 3-manifolds and Hamiltonian diffeomorphisms on highe
r-dimensional symplectic manifolds\, and recent progress on these problems
obtained by myself\, Meiwes\, Abror Pirnapasov and Lucas Dahinden.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/93/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Lange (LMU München)
DTSTART:20230113T141500Z
DTEND:20230113T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/94
DESCRIPTION:Title: Orbifolds and systolic inequalities\nby Christian Lange (
LMU München) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk\,
I will first discuss some instances in which orbifolds occur in geometry
and dynamics\, in particular\, in the context of billiards and systolic in
equalities. Then I will present topological conditions for an orbifold to
be a manifold together with applications to foliations and to Besse geodes
ic and Reeb flows (joint work with Manuel Amann\, Marc Kegel and Marco Rad
eschi). Here a flow is called Besse if all its orbits are periodic. Such f
lows are related to systolic inequalities. Namely\, I will explain a chara
cterization of contact forms on 3-manifolds whose Reeb flow is Besse as lo
cal maximizers of certain ''higher" systolic ratios\, and mention other re
lated systolic-like inequalities (joint work with Alberto Abbondandolo\, M
arco Mazzucchelli and Tobias Soethe).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/94/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David White (NSCU)/Kai Hugtenburg (Edinburgh)/Patricia Dietzsch (E
TH)
DTSTART:20230210T141500Z
DTEND:20230210T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/95
DESCRIPTION:Title: Three 20min research talks\nby David White (NSCU)/Kai Hug
tenburg (Edinburgh)/Patricia Dietzsch (ETH) as part of Symplectic zoominar
\n\n\nAbstract\nDavid White (NSCU)\n\nTitle: Symplectic instanton homology
of knots and links in 3-manifolds\n\nAbstract: Powerful homology invarian
ts of knots in 3-manifolds have emerged from both the gauge-theoretic and
the symplectic kinds of Floer theory: on the gauge-theoretic side is the i
nstanton knot homology of Kronheimer-Mrowka\, and on the symplectic the (H
eegaard) knot Floer homology developed independently by Ozsváth-Szabó an
d by Rasmussen. These theories are conjecturally equivalent\, but a precis
e connection between the gauge-theoretic and symplectic sides here remains
to be understood. We describe a construction designed to translate singul
ar instanton knot homology more directly into the symplectic domain\, a so
-called symplectic instanton knot homology: We define a Lagrangian Floer h
omology invariant of knots and links which extends a 3-manifold invariant
developed by H. Horton. The construction proceeds by using specialized Hee
gaard diagrams to parametrize an intersection of traceless $SU(2)$ charact
er varieties. The latter is in fact an intersection of Lagrangians in a sy
mplectic manifold\, giving rise to a Lagrangian Floer homology. We discuss
its relation to singular instanton knot homology\, as well as the formal
properties which this suggests and methods to prove these properties.\n\nK
ai Hugtenburg (Edinburgh)\n\nTitle: Open Gromov-Witten invariants from the
Fukaya category\n\nAbstract: Enumerative mirror symmetry is a corresponde
nce between closed Gromov-Witten invariants of a space $X$\, and period in
tegrals of a family $Y$. One of the predictions of Homological Mirror Symm
etry is that the closed Gromov-Witten invariants can be obtained from the
Fukaya category. For Calabi-Yau varieties this has been demonstrated by Ga
natra-Perutz-Sheridan. Recently\, enumerative mirror symmetry has been ext
ended\, by including open Gromov-Witten invariants and extended period int
egrals. It is natural to expect that open Gromov-Witten invariants can be
obtained from the Fukaya category. In this talk I will outline a construct
ion which will demonstrate this for certain open Gromov-Witten invariants.
\n\nPatricia Dietzsch (ETH)\n\nTitle: Lagrangian Hofer metric and barcodes
\n\nAbstract: Filtered Lagrangian Floer homology gives rise to a barcode a
ssociated to a pair of Lagrangians. It is well-known that the lengths of t
he finite bars and the spectral distance are lower bounds of the Lagrangia
n Hofer metric. In this talk we are interested in a reverse inequality.\nI
will explain an upper bound of the Lagrangian Hofer distance between equa
tors in the cylinder in terms of a weighted sum of the lengths of the fini
te bars and the spectral distance.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/95/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (ETH)
DTSTART:20230217T141500Z
DTEND:20230217T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/96
DESCRIPTION:Title: Hypersurface singularities and spectral invariants\nby Yu
suke Kawamoto (ETH) as part of Symplectic zoominar\n\n\nAbstract\nTitle: H
ypersurface singularities and spectral invariants \n\nAbstract: We discuss
the relation between hypersurface singularities (e.g. ADE\, $\\tilde E_6$
\, $\\tilde E_7$\, $\\tilde E_8$\, etc) and spectral invariants\, which ar
e symplectic invariants coming from Floer theory.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/96/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noah Porcelli (Imperial College London)
DTSTART:20230224T141500Z
DTEND:20230224T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/97
DESCRIPTION:Title: Floer theory and framed cobordisms between exact Lagrangian s
ubmanifolds\nby Noah Porcelli (Imperial College London) as part of Sym
plectic zoominar\n\n\nAbstract\nTitle: Floer theory and framed cobordisms
between exact Lagrangian submanifolds\n\nAbstract:\nLagrangian Floer theor
y is a useful tool for studying the structure of the homology of Lagrangia
n submanifolds. In some cases\, it can be used to detect more- we show it
can detect the framed bordism class of certain Lagrangians and in particul
ar recover a result of Abouzaid-Alvarez-Gavela-Courte-Kragh about smooth s
tructures on Lagrangians in cotangent bundles of spheres. The main technic
al tool we use is Large's recent construction of a stable-homotopical enri
chment of Lagrangian Floer theory.\nThis is based on joint work-in-progres
s with Ivan Smith.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/97/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Mazzucchelli (ENS-Lyon)
DTSTART:20230303T141500Z
DTEND:20230303T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/98
DESCRIPTION:by Marco Mazzucchelli (ENS-Lyon) as part of Symplectic zoomina
r\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/98/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georgios Dimitroglou Rizell (Uppsala)
DTSTART:20230331T131500Z
DTEND:20230331T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/99
DESCRIPTION:Title: A relative Calabi-Yau structure for Legendrian contact homolo
gy\nby Georgios Dimitroglou Rizell (Uppsala) as part of Symplectic zoo
minar\n\n\nAbstract\nThe duality long exact sequence relates linearised Le
gendrian contact homology and cohomology and was originally constructed by
Sabloff in the case of Legendrian knots. We show how the duality long exa
ct sequence can be generalised to a relative Calabi-Yau structure\, as def
ined by Brav and Dyckerhoff. We also discuss the generalised notion of the
fundamental class and give applications. The structure is established thr
ough the acyclicity of a version of Rabinowitz Floer Homology for Legendri
an submanifolds with coefficiens in the Chekanov-Eliashberg DGA. This is j
oint work in progress with Legout.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/99/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yaron Ostrover (TAU)
DTSTART:20230324T131500Z
DTEND:20230324T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/100
DESCRIPTION:Title: Symplectic Barriers\nby Yaron Ostrover (TAU) as part of
Symplectic zoominar\n\n\nAbstract\nIn this talk we discuss the existence o
f a new type of rigidity of symplectic embeddings coming from obligatory i
ntersections with symplectic planes. This is based on a joint work with P.
Haim-Kislev and R. Hind.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/100/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuhan Sun (Rutgers)
DTSTART:20230317T131500Z
DTEND:20230317T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/101
DESCRIPTION:Title: Heaviness and relative symplectic cohomology\nby Yuhan S
un (Rutgers) as part of Symplectic zoominar\n\n\nAbstract\nFor a compact s
ubset $K$ of a closed symplectic manifold\, Entov-Polterovich introduced t
he notion of (super)heaviness\, which reveals surprising symplectic rigidi
ty. When $K$ is a Lagrangian submanifold\, there is a well-established cri
terion for its heaviness\, by using closed-open maps. We will discuss an e
quivalence between the heaviness and the non-vanishing of the relative sym
plectic cohomology\, for a general compact set $K$. Joint with C.Y.Mak and
U.Varolgunes.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/101/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brayan Ferreira (IMPA)/Roman Krutowski (UCLA)/Amanda Hirschi (Camb
ridge)
DTSTART:20230421T131500Z
DTEND:20230421T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/102
DESCRIPTION:Title: Three 20min research talks\nby Brayan Ferreira (IMPA)/Ro
man Krutowski (UCLA)/Amanda Hirschi (Cambridge) as part of Symplectic zoom
inar\n\n\nAbstract\nBrayan Ferreira (IMPA)\n\nTitle: Gromov width of disk
cotangent bundles of spheres of revolution\n\nAbstract: The question of wh
ether a Symplectic manifold embeds into another is central in Symplectic t
opology. Since Gromov nonsqueezing theorem\, it is known that this is a di
fferent problem from volume preserving embeddings. Symplectic capacities a
re invariants that give obstructions to symplectic embeddings. The first e
xample of a symplectic capacity is given by the Gromov width\, which measu
res the biggest ball that can be symplectically embedded into a symplectic
manifold. In this talk\, we are going to discuss the Gromov width for the
example of disk cotangent bundles of spheres of revolution. The main resu
lts are for the Zoll cases and for the case of ellipsoids of revolution. T
he main tools are action angle coordinates (Arnold-Liouville theorem) and
ECH capacities. This is joint work with Alejandro Vicente and Vinicius Ram
os.\n\nRoman Krutowski (UCLA)\n\nTitle: Maslov index formula in Heegaard F
loer homology\n\nAbstract: The formula introduced by Robert Lipshitz for H
eegaard Floer homology is now one of the basic tools for those working wit
h HF homology. The convenience of the formula is due to its combinatorial
nature. In the talk\, we will discuss the recent combinatorial proof of th
is formula.\n\nAmanda Hirschi (Cambridge)\n\nTitle: Global Kuranishi chart
s for Gromov-Witten moduli spaces and a product formula\n\nAbstract: I wil
l describe the construction of a global Kuranishi chart for moduli spaces
of stable pseudoholomorphic maps of any genus and explain how this allows
for a straightforward definition of GW invariants. For those not convinced
of its usefulness\, I will sketch how this can be used to obtain a formul
a for the GW invariants of a product. This is joint work with Mohan Swamin
athan.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/102/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Entov (Technion)
DTSTART:20230505T131500Z
DTEND:20230505T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/103
DESCRIPTION:Title: Kahler-type and tame embeddings of balls into symplectic man
ifolds\nby Michael Entov (Technion) as part of Symplectic zoominar\n\n
\nAbstract\nA symplectic embedding of a disjoint union of domains into a s
ymplectic manifold M is said to be of Kahler type (respectively tame) if i
t is holomorphic with respect to some (not a priori fixed) integrable comp
lex structure on M which is compatible with (respectively tamed by) the sy
mplectic form. I'll discuss when Kahler-type embeddings of disjoint unions
of balls into a closed symplectic manifold exist and when two such embedd
ings can be mapped into each other by a symplectomorphism. If time permits
\, I'll also discuss the existence of tame embeddings of balls\, polydisks
and parallelepipeds into tori and K3 surfaces.\n\nThis is a joint work wi
th M.Verbitsky.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/103/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Bialy (TAU)
DTSTART:20230428T131500Z
DTEND:20230428T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/104
DESCRIPTION:Title: Locally maximizing orbits and rigidity for convex billiards<
/a>\nby Michael Bialy (TAU) as part of Symplectic zoominar\n\n\nAbstract\n
Given a convex billiard table\, one defines the set $\\mathcal M$ swept by
locally maximizing orbits for convex billiard. This is a remarkable close
d invariant set which does not depend (under certain assumptions) on the c
hoice of the generating function. I shall show how to get sharp estimates
on the measure of this set\, recovering as a corollary rigidity result for
centrally symmetric convex billiards. Also I shall discuss rigidity of Ma
ther $\\beta$ function.\nBased on joint works with Andrey E. Mironov\, Ser
gei Tabachnikov and Daniel Tsodikovich.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/104/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierrick Bousseau (UGA)
DTSTART:20230414T131500Z
DTEND:20230414T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/105
DESCRIPTION:Title: Quivers\, flow trees and log curves\nby Pierrick Boussea
u (UGA) as part of Symplectic zoominar\n\n\nAbstract\nDonaldson-Thomas (DT
) invariants of a quiver with potential can be expressed in terms of simpl
er attractor DT invariants by a universal formula. The coefficients in thi
s formula are calculated combinatorially using attractor flow trees. In jo
int work with Arguz (arXiv:2302.02068)\, we prove that these coefficients
are genus 0 log Gromov-Witten invariants of d-dimensional toric varieties\
, where d is the number of vertices of the quiver. This result follows fro
m a log-tropical correspondence theorem which relates (d-2)-dimensional fa
milies of tropical curves obtained as universal deformations of attractor
flow trees\, and rational log curves in toric varieties.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/105/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vinicius Ramos (IMPA)
DTSTART:20230519T131500Z
DTEND:20230519T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/106
DESCRIPTION:Title: The Toda lattice\, billiards and the Viterbo conjecture\
nby Vinicius Ramos (IMPA) as part of Symplectic zoominar\n\n\nAbstract\nAb
stract:\nThe Toda lattice is one of the earliest examples of non-linear co
mpletely integrable systems. Under a large deformation\, the Hamiltonian f
low can be seen to converge to a billiard flow in a simplex. In the 1970s\
, action-angle coordinates were computed for the standard system using a n
on-canonical transformation and some spectral theory. In this talk\, I wil
l explain how to adapt these coordinates to the situation of a large defor
mation and how this leads to new examples of symplectomorphisms of Lagrang
ian products with toric domains. In particular\, we find a sequence of Lag
rangian products whose symplectic systolic ratio is one and we prove that
they are symplectic balls. This is joint work with Y. Ostrover and D. Sepe
.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/106/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joé Brendel (TAU)
DTSTART:20230526T131500Z
DTEND:20230526T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/107
DESCRIPTION:Title: Local exotic tori\nby Joé Brendel (TAU) as part of Symp
lectic zoominar\n\n\nAbstract\nWe discuss exotic Lagrangian tori in dimens
ion greater than or equal to six. First\, we give another approach to Auro
ux's result that there are infinitely many tori in $\\mathbb R^6$ which ar
e distinct up to symplectomorphisms of the ambient space. The exotic tori
we construct naturally appear in a two-parameter family\, some of which
are not monotone. Small enough tori in this family can be embedded by a D
arboux chart into any tame symplectic manifold and one can show that they
are still distinct up to symplectomorphisms.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/107/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Russell Avdek (Paris)
DTSTART:20231020T131500Z
DTEND:20231020T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/108
DESCRIPTION:Title: Convex hypersurfaces\, contact homology\, and relative GW\nby Russell Avdek (Paris) as part of Symplectic zoominar\n\n\nAbstract\n
While convex hypersurfaces are well understood in 3d contact topology\, we
are just starting to explore their basic properties in high dimensions. I
will describe how to compute contact homologies (CH) of their neighborhoo
ds\, which can be used to infer tightness in any dimension. Then I’ll gi
ve a general construction of high-dimensional convex hypersurfaces in the
style of Gompf’s fiber sum. For these convex hypersurfaces\, relative Gr
omov-Witten can often compute CH in the style of Diogo-Lisi. We’ll work
through some interesting examples.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/108/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Seidel (MIT)
DTSTART:20231013T131500Z
DTEND:20231013T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/109
DESCRIPTION:Title: Symplectic cohomology relative to a smooth divisor\nby P
aul Seidel (MIT) as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/109/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lukas Nakamura (Uppsala)\; Habib Alizadeh (UdeM)\; Han Lou (UGA)
DTSTART:20231027T131500Z
DTEND:20231027T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/110
DESCRIPTION:Title: Three 20min research talks\nby Lukas Nakamura (Uppsala)\
; Habib Alizadeh (UdeM)\; Han Lou (UGA) as part of Symplectic zoominar\n\n
\nAbstract\nI. Lukas Nakamura (Uppsala)\n\nTitle: A metric on the contacto
morphism group of an orderable contact manifold\n\nAbstract: We discuss so
me properties of a pseudo-metric on the contactomorphism group of a strict
contact manifold M induced by the maximum/minimum of Hamiltonians. We sho
w that it is non-degenerate if and only if M is orderable and that its met
ric topology agrees with the interval topology introduced by Chernov and N
emirovski. We also discuss analogous results on isotopy classes of Legendr
ian submanifolds and on universal covers. \n\n\nII. Habib Alizadeh (UdeM)\
n\nTitle: Fragmentation in dimension four and its application to spectral
estimators\n\nAbstract: We show a new Hamiltonian fragmentation result for
four-dimensional symplectic polydisks. As an application to our result\,
we prove -continuity of the spectral estimators defined by Polterovich and
Shelukhin for polydisks. \n\n\nIII. Han Lou (UGA)\n\nTitle: On the Hofer
Zehnder conjecture for semipositive symplectic manifolds\n\nAbstract: Arno
ld conjecture says that the number of 1-periodic orbits of a Hamiltonian d
iffeomorphism is greater than or equal to the dimension of the Hamiltonian
Floer homology. In 1994\, Hofer and Zehnder conjectured that there are in
finitely many periodic orbits if the equality doesn't hold. In this talk\,
I will show that the Hofer-Zehnder conjecture is true for semipositive sy
mplectic manifolds with semisimple quantum homology. This is a joint work
with Marcelo Atallah.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/110/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciprian Manolescu (Stanford)
DTSTART:20231117T141500Z
DTEND:20231117T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/111
DESCRIPTION:Title: A knot Floer stable homotopy type\nby Ciprian Manolescu
(Stanford) as part of Symplectic zoominar\n\n\nAbstract\nGiven a grid diag
ram for a knot or link K in the three-sphere\, we construct a spectrum who
se homology is the knot Floer homology of K. We conjecture that the homoto
py type of the spectrum is an invariant of K. Our construction does not us
e holomorphic geometry\, but rather builds on the combinatorial definition
of grid homology. We inductively define models for the moduli spaces of p
seudo-holomorphic strips and disk bubbles\, and patch them together into a
framed flow category. The inductive step relies on the vanishing of an ob
struction class that takes values in a complex of positive domains with pa
rtitions. (This is joint work with Sucharit Sarkar.)\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/111/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Etnyre (Georgia Tech)
DTSTART:20231215T141500Z
DTEND:20231215T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/112
DESCRIPTION:Title: Symplectic embeddings of rational homology balls into projec
tive space\nby John Etnyre (Georgia Tech) as part of Symplectic zoomin
ar\n\n\nAbstract\nI will discuss how to build small symplectic caps for co
ntact manifolds as a step in building small closed symplectic 4-manifolds.
As an application of the construction\, I will give explicit handlebody d
escriptions of symplectic embeddings of rational homology balls into \\(\\
mathbb{CP}^2\\). This is joint work with Hyunki Min\, Lisa Piccirillo\, an
d Agniva Roy.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/112/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Edtmair (Berkeley)
DTSTART:20231103T131500Z
DTEND:20231103T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/113
DESCRIPTION:Title: The subleading asymptotics of symplectic Weyl laws\nby O
liver Edtmair (Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nSpe
ctral invariants defined via Embedded Contact Homology (ECH) or the closel
y related Periodic Floer Homology (PFH) satisfy a Weyl law: Asymptotically
\, they recover symplectic volume. This Weyl law has led to striking appli
cations in dynamics (smooth closing lemma) and \\(C^0\\) symplectic geomet
ry (simplicity conjecture). In this talk\, I will report on work in progre
ss concerning the subleading asymptotics of symplectic Weyl laws. I will e
xplain the connection to symplectic packing problems and the algebraic str
ucture of groups of Hamiltonian diffeomorphisms and homeomorphisms.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/113/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julien Dardennes (Toulouse)\; Arnaud Maret (Paris)\; Luya Wang (St
anford)
DTSTART:20231208T141500Z
DTEND:20231208T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/114
DESCRIPTION:Title: Three 20min research talks\nby Julien Dardennes (Toulous
e)\; Arnaud Maret (Paris)\; Luya Wang (Stanford) as part of Symplectic zoo
minar\n\n\nAbstract\n-----\n\nI. Julien Dardennes (Toulouse)\n\nTitle: The
coarse distance from dynamically convex to convex\n\nAbstract: Chaidez an
d Edtmair have recently found the first examples of dynamically convex dom
ains in $\\mathbb{R}^4$ that are not symplectomorphic to convex domains\,
answering a long-standing open question.\nIn this talk\, we present new ex
amples of such domains without referring to Chaidez-Edtmair’s criterion.
We also show that these domains are arbitrarily far from the set of sympl
ectically convex domains in $\\mathbb{R}^4$ with respect to the coarse sym
plectic Banach-Mazur distance by using an explicit numerical criterion for
symplectic non-convexity (joint work with J. Gutt\, V. Ramos and J. Zhang
).\n\n-----\n\nII. Arnaud Maret (Paris)\n\nTitle: Complex projective space
s via surface groups representations\n\nAbstract: My plan is to explain ho
w complex projective spaces can be identified with components of totally e
lliptic representations of the fundamental group of a punctured sphere int
o \\(PSL(2\,\\mathbb{R})\\). I will explain how this identification realiz
es the pure mapping class group of the punctured sphere as a subgroup of t
he group of Hamiltonian diffeomorphisms of the complex projective space. \
n\n-----\n\nIII. Luya Wang (Stanford)\n\nTitle: Deformation inequivalent s
ymplectic structures and Donaldson's four-six question\n\nAbstract: Studyi
ng symplectic structures up to deformation equivalences is a fundamental q
uestion in symplectic geometry. Donaldson asked: given two homeomorphic cl
osed symplectic four-manifolds\, are they diffeomorphic if and only if the
ir stabilized symplectic six-manifolds\, obtained by taking products with
$\\mathbb{CP}^1$ with the standard symplectic form\, are deformation equiv
alent? I will discuss joint work with Amanda Hirschi on showing how deform
ation inequivalent symplectic forms remain deformation inequivalent when s
tabilized\, under certain algebraic conditions. This gives the first count
erexamples to one direction of Donaldson’s “four-six” question and t
he related Stabilizing Conjecture by Ruan.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/114/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduardo Fernández (U of Georgia)
DTSTART:20240119T141500Z
DTEND:20240119T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/115
DESCRIPTION:Title: Cabling families of Legendrian embeddings\nby Eduardo Fe
rnández (U of Georgia) as part of Symplectic zoominar\n\n\nAbstract\nI wi
ll discuss a recursive formula for the homotopy type of the space of Legen
drian embeddings of sufficiently positive cables with the maximal Thurston
-Bennequin invariant. Via this formula\, we identify infinitely many new c
omponents within the space of Legendrian embeddings in the standard contac
t 3-sphere that satisfy an injective h-principle. These components include
those containing positive Legendrian torus knots with the maximal Thursto
n-Bennequin invariant. This work is a collaboration with Hyunki Min.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/115/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthias Meiwes (Tel Aviv)
DTSTART:20231124T141500Z
DTEND:20231124T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/116
DESCRIPTION:Title: $C^0$ stability of topological entropy for 3-dimensional Ree
b flows\nby Matthias Meiwes (Tel Aviv) as part of Symplectic zoominar\
n\n\nAbstract\nThe $C^0$ distance on the space of contact forms on a conta
ct manifold has been studied recently by different authors. It can be thou
ght of as an analogue for Reeb flows of the Hofer metric on the space of H
amiltonian diffeomorphisms. In this talk\, I will explain some recent prog
ress on the stability properties of the topological entropy with respect t
o this distance obtained in collaboration with M. Alves\, L. Dahinden\, an
d A. Pirnapasov. Our main result states that the topological entropy for c
losed contact 3-manifolds is lower semi-continuous in the $C^0$ distance f
or $C^{\\infty}$-generic contact froms. Applying our methods to geodesic f
lows of surfaces\, we obtain that the points of lower-semicontinuity of th
e topological entropy include non-degenerate metrics. In particular\, give
n a geodesic flow of such a metric with positive topological entropy\, th
e topological entropy does not vanish for sufficiently $C^0$-small perturb
ations of the metric.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/116/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Barış Kartal (Edinburgh)
DTSTART:20231222T141500Z
DTEND:20231222T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/117
DESCRIPTION:Title: Equivariant Floer homotopy via Morse-Bott theory\nby Yus
uf Barış Kartal (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract
\nFloer homotopy type refines the Floer homology by associating a (stable)
homotopy type to an Hamiltonian\, whose homology gives the Hamiltonian Fl
oer homology. In particular\, one expects the existing structures on the l
atter to lift as well\, such as the circle actions. On the other hand\, co
nstructing a genuine circle action even in the Morse theory is problematic
: one usually cannot choose Morse-Smale pairs/Floer data that is invariant
under the circle action. In this talk\, we show how to extend the framewo
rk of Floer homotopy theory to the Morse-Bott setting\, in order to tackle
this problem. In the remaining time\, we explain how to relate the Floer
homotopy type to the free loop spaces of exact Lagrangian submanifolds equ
ivariantly\, and discuss applications to recovering information about the
topology of the underlying manifold from its symplectic cohomology. Joint
work with Laurent Cote.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/117/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Morabito (Paris)\; Filip Brocic (UdeM)\; Valentin Bossha
rd (ETH)
DTSTART:20240105T141500Z
DTEND:20240105T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/118
DESCRIPTION:Title: Three 20min research talks\nby Francesco Morabito (Paris
)\; Filip Brocic (UdeM)\; Valentin Bosshard (ETH) as part of Symplectic zo
ominar\n\n\nAbstract\n-----\n\nI. Francesco Morabito (Paris)\n\nTitle: TBA
\n\nAbstract: TBA\n\n-----\n\nII. Filip Brocic (UdeM)\n\nTitle: Riemannian
distance and symplectic embeddings in cotangent bundle\n\nAbstract: \nIn
the talk\, I will introduce a distance-like function on the zero section o
f the cotangent bundle using symplectic embeddings of standard balls insid
e an open neighborhood of the zero section. I will provide some examples w
hich illustrate the properties of such a function. The main result that I
will present is a relationship between the length structure associated to
the introduced distance and the usual Riemannian length. Time permitting\,
I will explain a connection with the strong Viterbo conjecture for certai
n domains.\n\n-----\n\nIII. Valentin Bosshard (ETH)\n\nTitle: TBA\n\nAbstr
act: TBA\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/118/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johanna Bimmermann (Bochum)\; Soham Chanda (Rutgers)\; Valerio Ass
enza (IMPA)
DTSTART:20240126T141500Z
DTEND:20240126T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/119
DESCRIPTION:Title: Three 20min research talks\nby Johanna Bimmermann (Bochu
m)\; Soham Chanda (Rutgers)\; Valerio Assenza (IMPA) as part of Symplectic
zoominar\n\n\nAbstract\n-----\n\nI. Johanna Bimmermann (Bochum)\n\nTitle:
From magnetically twisted to hyperkähler\n\nAbstract: The tangent bundle
of a Kähler manifold admits in a neighborhood of the zero section a hype
rkähler structure. From a symplectic point of view\, this means we have t
hree symplectic structures all compatible with a single metric. Two of the
three symplectic structures are easy to describe in terms of the canonic
symplectic structure. The third one is harder to describe\, but in the cas
e of hermitian symmetric spaces\, there is an explicit formula found by Bi
quard and Gauduchon. In this talk\, I will construct a surprising diffeomo
rphism of the tangent bundle of a hermitian symmetric space that identifie
s this third symplectic structure with the magnetically twisted symplectic
structure\, where the twist is given by the Kähler form on the base. \n\
n-----\n\nII. Soham Chanda (Rutgers)\n\nTitle: Augmentation varieties and
disk potential\n\nAbstract: Dimitroglou-Rizell-Golovko constructs a family
of Legendrians in prequantization bundles by taking lifts of monotone Lag
rangians. These lifted Legendrians have a Morse-Bott family of Reeb chords
. We construct a version of Legendrian Contact Homology (LCH) for Rizell-G
olovko's lifted Legendrians by counting treed disks. Our formalism of LCH
allows us to obtain augmentations from certain non-exact fillings. We prov
e a conjecture of Rizell-Golovko relating the augmentation variety assoici
ated to the LCH of a lifted Legendrian and the disk potential of the base
Lagrangian. As an application\, we show that lifts of monotone Lagrangian
tori in projective spaces with different disk-potentials\, e.g. as constru
cted by Vianna\, produce non-isotopic Legendrian tori in contact spheres.
The above work is a joint project with Blakey\, Sun and Woodward. \n\n----
-\n\nIII. Valerio Assenza (IMPA)\n\nTitle: On the geometry of magnetic fl
ows\n\nAbstract: A magnetic system is the toy model for the motion of a ch
arged particle moving on a Riemannian manifold endowed with a magnetic for
ce. To a magnetic flow we associate an operator\, called the magnetic curv
ature operator. Such an operator encodes together the geometrical properti
es of the Riemannanian structure together with terms of perturbation due t
o magnetic interaction\, and it carries crucial informations of the magnet
ic dynamics. For instance\, in this talk\, we see how a level of the energ
y positively curved\, in this new magnetic sense\, carries a periodic orbi
t. We also generalize to the magnetic case the classical Hopf's rigity and
we introduce the notion of magnetic flatness for closed surfaces. \n\n---
--\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/119/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dylan Cant (UdeM)
DTSTART:20240209T141500Z
DTEND:20240209T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/120
DESCRIPTION:Title: Extensible positive loops and vanishing of symplectic cohomo
logy\nby Dylan Cant (UdeM) as part of Symplectic zoominar\n\n\nAbstrac
t\nI will discuss the relationship between positive loops of contactomorph
isms of a fillable contact manifold and the symplectic cohomology (SH) of
the filling. The main result is that the existence of a positive loop whic
h is "extensible" implies SH vanishes. We also discuss the relationship be
tween non-extensible loops and exotic mapping classes in the symplectomorp
hism group. The results have a relative (Lagrangian) formulation: an exten
sible positive loop of fillable Legendrians implies the wrapped Floer coho
mology of the filling vanishes. As an application\, one obtains a criterio
n for a positive loop to be non-extensible\; interestingly enough\, non-ex
tensible loops provide a nice construction of exotic symplectic mapping cl
asses (in the absolute case) and exotic Lagrangian fillings (in the relati
ve case).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/120/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Abbondandolo (Bochum)
DTSTART:20240216T141500Z
DTEND:20240216T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/121
DESCRIPTION:Title: Symplectic capacities of domains close to the ball and Banac
h-Mazur geodesics in the space of contact forms\nby Alberto Abbondando
lo (Bochum) as part of Symplectic zoominar\n\n\nAbstract\nAn old open ques
tion in symplectic topology is whether all normalized capacities coincide
on convex bounded domains in the standard symplectic vector space. I will
discuss this question for domains which are close to the Euclidean ball an
d its connection with the geometry of the space of contact forms with a Ba
nach-Mazur pseudo-metric. This talk is based on a recent joint work with G
abriele Benedetti and Oliver Edtmair.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/121/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Lipshitz (Oregon)
DTSTART:20240308T141500Z
DTEND:20240308T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/122
DESCRIPTION:Title: Strongly invertible knots\, Khovanov homotopy\, and localiza
tion\nby Robert Lipshitz (Oregon) as part of Symplectic zoominar\n\n\n
Abstract\nStrong inversions are a class of order-2 symmetries of knots in
\\(S^3\\). Building on work of Seidel-Smith\, Lidman-Manolescu\, Stoffrege
n-Zhang\, and others\, we will describe a relationship between the Khovano
v homology of a knot with a strong inversion and its quotients by the inve
rsion. We will also give a modest application to surfaces in 4-space. This
is joint work with Sucharit Sarkar. While there is no symplectic geometry
in the talk\, many of the ideas come from or may be useful in Floer-theor
etic settings.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/122/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ko Honda (UCLA)
DTSTART:20240322T131500Z
DTEND:20240322T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/123
DESCRIPTION:Title: The Giroux correspondence in arbitrary dimensions\nby Ko
Honda (UCLA) as part of Symplectic zoominar\n\n\nAbstract\nAround twenty
years ago Emmanuel Giroux formulated the equivalence of contact structures
and open book decompositions with Weinstein pages up to stabilization. We
establish the Giroux correspondence in full generality using the recent d
evelopments in convex hypersurface theory. This is joint work with Joe Bre
en and Yang Huang.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/123/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Álvaro Pelayo (Complutense University of Madrid)
DTSTART:20240531T131500Z
DTEND:20240531T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/124
DESCRIPTION:Title: Toric and semitoric symplectic geometry: progress and challe
nges\nby Álvaro Pelayo (Complutense University of Madrid) as part of
Symplectic zoominar\n\n\nAbstract\nToric integrable systems\, also known a
s symplectic toric manifolds\, arise as examples in different contexts wit
hin geometry and related areas. Semitoric integrable systems are a general
ization of toric integrable systems in dimension four. In this talk I will
discuss some classical and recent work on the symplectic geometry of tori
c and semitoric integrable systems. I will also mention some future challe
nges in the field.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/124/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark McLean (Stony Brook)
DTSTART:20240628T131500Z
DTEND:20240628T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/125
DESCRIPTION:Title: Symplectic Orbifold Gromov-Witten Invariants\nby Mark Mc
Lean (Stony Brook) as part of Symplectic zoominar\n\n\nAbstract\nChen and
Ruan constructed symplectic orbifold Gromov-Witten invariants more than 20
years ago. In ongoing work with Alex Ritter\, we show that moduli spaces
of pseudo-holomorphic curves mapping to a symplectic orbifold admit globa
l Kuranishi charts. This allows us to construct other types of Gromov-Witt
en invariants\, such as K-theoretic counts. The construction relies on an
orbifold embedding theorem of Ross and Thomas.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/125/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Denis Auroux (Harvard)
DTSTART:20240223T141500Z
DTEND:20240223T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/126
DESCRIPTION:Title: Floer-theoretic corrections to the geometry of moduli spaces
of Lagrangian tori\nby Denis Auroux (Harvard) as part of Symplectic z
oominar\n\n\nAbstract\nGiven a Lagrangian torus fibration on the complemen
t of an anticanonical divisor in a Kahler manifold\, one usually construct
s a mirror space by gluing local charts (moduli spaces of objects of the F
ukaya category supported on generic torus fibers) via wall-crossing transf
ormations determined by counts of Maslov index 0 holomorphic discs\; this
mirror also comes equipped with a regular function (the superpotential) wh
ich enumerates Maslov index 2 holomorphic discs. Holomorphic discs of nega
tive Maslov index deform this picture by introducing inconsistencies in th
e wall-crossing transformations\; the geometric features of the corrected
moduli space of objects of the Fukaya category can be understood in the la
nguage of extended deformations of Landau-Ginzburg models. We will illustr
ate this phenomenon on an explicit example (a 4-fold obtained by blowing u
p a toric variety)\, and\, if time permits\, discuss a family Floer approa
ch to the geometry of the corrected mirror in this setting.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/126/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (ETH)
DTSTART:20240315T131500Z
DTEND:20240315T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/127
DESCRIPTION:Title: Quantitative Floer theory and coefficients\nby Yusuke Ka
wamoto (ETH) as part of Symplectic zoominar\n\n\nAbstract\nI will discuss
how much the choice of coefficients impacts the quantitative information o
f Floer theory\, especially spectral invariants. In particular\, I will pr
esent some phenomena that are specific to integer coefficients\, including
an answer to a variant of a question posed by Nancy Hingston. The materia
l is based on a joint work with Egor Shelukhin.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/127/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Viktor Ginzburg (UCSC)
DTSTART:20240510T131500Z
DTEND:20240510T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/128
DESCRIPTION:Title: Invariant sets and hyperbolic periodic orbits\nby Viktor
Ginzburg (UCSC) as part of Symplectic zoominar\n\n\nAbstract\nThe presenc
e of hyperbolic periodic orbits or invariant sets often has an affect on t
he global behavior of a dynamical system. In this talk we discuss two theo
rems along the lines of this phenomenon\, extending some properties of Ham
iltonian diffeomorphisms to dynamically convex Reeb flows on the sphere in
all dimensions. The first one\, complementing other multiplicity results
for Reeb flows\, is that the existence of a hyperbolic periodic orbit forc
es the flow to have infinitely many periodic orbits. This result can be th
ought of as a step towards Franks’ theorem for Reeb flows. The second re
sult is a contact analogue of the higher-dimensional Le Calvez-Yoccoz theo
rem proved by the speaker and Gurel and asserting that no periodic orbit o
f a Hamiltonian pseudo-rotation is locally maximal. The talk is based on a
joint work with Erman Cineli\, Basak Gurel and Marco Mazzucchelli.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/128/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yao Xiao (Stony Brook)\; Yoav Zimhony (TAU)\; Qi Feng (IGP-UST\, H
efei)
DTSTART:20240329T131500Z
DTEND:20240329T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/129
DESCRIPTION:Title: Three 20min research talks\nby Yao Xiao (Stony Brook)\;
Yoav Zimhony (TAU)\; Qi Feng (IGP-UST\, Hefei) as part of Symplectic zoomi
nar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/129/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yan-Lung Leon Li (CUHK)\; Levin Maier (Heidelberg)\; Austin Christ
ian (Georgia Tech)
DTSTART:20240412T131500Z
DTEND:20240412T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/130
DESCRIPTION:Title: Three 20min research talks\nby Yan-Lung Leon Li (CUHK)\;
Levin Maier (Heidelberg)\; Austin Christian (Georgia Tech) as part of Sym
plectic zoominar\n\n\nAbstract\n-----\n\nI. Yan-Lung Leon Li (CUHK)\n\nTit
le: Equivariant Lagrangian correspondence and a conjecture of Teleman\n\nA
bstract:\n\nIt has been a continuing interest\, often with profound import
ance\, in understanding the geometric and topological relationship between
a Hamiltonian G-manifold Y and a symplectic quotient X. In this talk\, we
shall provide precise relations between their (equivariant) Lagrangian Fl
oer theory. In particular\, we will address a conjecture of Teleman\, moti
vated by 3d mirror symmetry\, on the 2d mirror construction of X from that
of Y\, which generalises Givental-Hori-Vafa mirror construction for toric
varieties. The key technical ingredient is the Kim-Lau-Zheng’s equivari
ant extension of Fukaya’s Lagrangian correspondence tri-modules over equ
ivariant Floer complexes. Joint work with Siu-Cheong Lau and Naichung Cona
n Leung. \n\n-----\n\nII. Levin Maier (Heidelberg)\n\nTitle: On Mañé's c
ritical value for the two-component Hunter-Saxton system\n\nAbstract: \n\n
In this talk\, we will introduce Mañé's critical value for a Hamiltonian
PDE\, the two-component Hunter-Saxton system. We will introduce the magne
tic two-component Hunter-Saxton system (M2HS)\, which is a magnetic geodes
ic equation on an infinite-dimensional Lie group. We prove that this magne
tic system is magnetic isomorphic to a magnetic system on an infinite-dime
nsional sphere. Surprisingly each magnetic geodesic is tangent to the 3-sp
here obtained by intersecting the ambient sphere with a complex plane. We
use this geometric description of the (M2HS) to give explicit criteria for
blow-ups and prove the existence of global weak solutions. \n\n-----\n\nI
II. Austin Christian (Georgia Tech)\n\nTitle: Persistent Legendrian contac
t homology\n\nAbstract: \n\nThis talk will report on an REU whose goal was
to introduce the notion of persistence into Legendrian contact homology.
The LCH of a Legendrian knot is computed as the homology of the knot's Che
kanov-Eliashberg DGA and is a well-studied invariant of Legendrian isotopy
types. For a given Legendrian embedding\, the Chekanov-Eliashberg DGA adm
its a natural filtration\, allowing for the computation of persistent homo
logy. The purpose of this REU was to initiate the study of the resulting f
iltered homology. The project was joint with M. Basu\, E. Clayton\, D. Irv
ine\, F. Mooers\, and W. Shen. \n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/130/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shira Tanny (IAS)
DTSTART:20240419T131500Z
DTEND:20240419T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/131
DESCRIPTION:Title: From Gromov–Witten theory to the closing lemma\nby Shi
ra Tanny (IAS) as part of Symplectic zoominar\n\n\nAbstract\nAn old questi
on of Poincaré concerns creating periodic orbits via perturbations of a f
low/diffeomorphism. While pseudoholomorphic methods have successfully addr
essed this question in dimensions 2-3\, the higher-dimensional case remain
s less understood. I will describe a connection between this question and
Gromov–Witten invariants\, which goes through a new class of invariants
of symplectic cobordisms. This is a joint work with Julian Chaidez.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/131/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Smith (Cambridge)
DTSTART:20240517T131500Z
DTEND:20240517T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/132
DESCRIPTION:Title: Bordism of flow modules and exact Lagrangians\nby Ivan S
mith (Cambridge) as part of Symplectic zoominar\n\n\nAbstract\nWe discuss
constraints on exact Lagrangian embeddings obtained from considering bordi
sm classes of flow modules over Lagrangian Floer flow categories. This tal
k reports on joint work with Noah Porcelli.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/132/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lenhard Ng (Duke)
DTSTART:20240524T131500Z
DTEND:20240524T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/133
DESCRIPTION:Title: New algebraic invariants of Legendrian links\nby Lenhard
Ng (Duke) as part of Symplectic zoominar\n\n\nAbstract\nFor the past 25 y
ears\, Legendrian contact homology has played a key role in contact topolo
gy. I'll discuss a package of new invariants for Legendrian knots and link
s that builds on Legendrian contact homology and is derived from rational
symplectic field theory. This includes a Poisson bracket on Legendrian con
tact homology and a symplectic structure on augmentation varieties. Time p
ermitting\, I'll also describe an unexpected connection to cluster theory
for a family of Legendrian links associated to positive braids. Parts of t
his are joint work in progress with Roger Casals\, Honghao Gao\, Linhui Sh
en\, and Daping Weng.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/133/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agustin Moreno (Heidelberg)
DTSTART:20240503T131500Z
DTEND:20240503T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/134
DESCRIPTION:by Agustin Moreno (Heidelberg) as part of Symplectic zoominar\
n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/134/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Cristofaro-Gardiner (Maryland)
DTSTART:20240614T131500Z
DTEND:20240614T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/135
DESCRIPTION:Title: Two or infinity\nby Dan Cristofaro-Gardiner (Maryland) a
s part of Symplectic zoominar\n\n\nAbstract\nIt is conjectured that every
Reeb flow on a closed three-manifold has either two\, or infinitely many\,
simple periodic orbits. I will survey what is currently known about this
conjecture. Then\, I will try to explain some of the key ideas behind rece
nt joint work proving it\, as long as the associated contact structure has
torsion Chern class. Then\, I will state some related open questions.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/135/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandru Oancea (Strasbourg)
DTSTART:20241011T131500Z
DTEND:20241011T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/136
DESCRIPTION:Title: Floer homology with DG coefficients. Applications to cotange
nt bundles\nby Alexandru Oancea (Strasbourg) as part of Symplectic zoo
minar\n\n\nAbstract\nGiven a path-connected topological space \\(X\\)\, a
differential graded (DG) local system (or derived local system) is a modul
e over the DGA of chains on the based loop space of \\(X\\). I will explai
n how to define in the symplectically aspherical case Hamiltonian Floer ho
mology with coefficients in a DG local system\, how this homology fits int
o a filtered homological toolbox\, and will present a number of dynamical
applications to cotangent bundles. This is joint work with Jean-François
Barraud\, Mihai Damian and Vincent Humilière. The construction of Floer h
omology with enriched coefficients was originally discovered by Barraud-Co
rnea\, and it was revisited over the years in different settings by Abouza
id\, Charette\, Zhou\, and Rezchikov.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/136/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean Gutt (IMT / INU Champollion)
DTSTART:20241018T131500Z
DTEND:20241018T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/137
DESCRIPTION:Title: Ekeland-Hofer capacities as coming from positive \\(S^1\\) e
quivariant symplectic homology\nby Jean Gutt (IMT / INU Champollion) a
s part of Symplectic zoominar\n\n\nAbstract\nAssociated to a star-shaped d
omain in \\(\\mathbb{R}^{2n}\\) are two increasing sequences of capacities
: the Ekeland-Hofer capacities and the so-called Gutt-Hutchings capacities
. I shall recall both constructions and then present the main theorem that
they are the same. This is joint work with Vinicius Ramos.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/137/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adrien Currier (Nantes)\; Adi Dickstein (Tel Aviv)\; Elliot Gather
cole (Lancaster)
DTSTART:20241025T131500Z
DTEND:20241025T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/138
DESCRIPTION:Title: Three 20min research talks\nby Adrien Currier (Nantes)\;
Adi Dickstein (Tel Aviv)\; Elliot Gathercole (Lancaster) as part of Sympl
ectic zoominar\n\n\nAbstract\n-----\n\nI. Adrien Currier (Nantes)\n\nTitle
: Exact Lagrangians in cotangent bundles with locally conformally symplect
ic structure\n\nAbstract:\n\nFirst considered by Lee in the 40s\, locally
conformally symplectic (LCS) geometry appears as a generalization of sympl
ectic geometry which allows for the study of Hamiltonian dynamics on a wid
er range of manifolds while preserving the local properties of symplectic
geometry. After a long period of hibernation (especially as far as the to
pological aspect is concerned)\, interest in this subject has picked up ag
ain recently. However\, to this day\, the field of LCS topology remains va
stly unexplored.\n
\nIn this talk\, we will introduce the various obj
ects of LCS geometry and their behavior through both definitions and examp
les. We will also explore some questions around an LCS version of the near
by Lagrangian conjecture and some of the connections between LCS and conta
ct geometry.\n\n-----\n\nII. Adi Dickstein (Tel Aviv)\n\nTitle: Relative s
ymplectic cohomology of pairs\n\nAbstract: \n\nRelative symplectic cohomol
ogy\, an invariant of subsets in a symplectic manifold\, was recently intr
oduced by Varolgunes. In this talk\, I will present a generalization of th
is invariant to pairs of subsets\, which shares similar properties with th
e singular cohomology of pairs\, such as excision and a product structure.
Using this new invariant\, I will demonstrate new symplectic rigidity phe
nomena. Joint with Yaniv Ganor\, Leonid Polterovich and Frol Zapolsky.\n\n
-----\n\nIII. Elliot Gathercole (Lancaster)\n\nTitle: Superheavy skeleta f
or non-normal crossings divisors\n\nAbstract: \n\nGiven an anticanonical d
ivisor in a projective variety\, one naturally obtains a monotone Kähler
manifold\, and the divisor complement is naturally a Liouville manifold. F
or certain kinds of singular divisors\, we will outline a result obtaining
rigid (in particular\, superheavy) neighbourhoods of the Lagrangian skele
ton of the complement\, of prescribed volume dependent on the divisor\, an
d illustrate this with some interesting examples where the skeleton itself
is superheavy.\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/138/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastian Haney (Columbia)\; Milica Ðukic (Uppsala)\; Yann Guggis
berg (Utrecht)
DTSTART:20241115T141500Z
DTEND:20241115T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/139
DESCRIPTION:Title: Three 20min research talks\nby Sebastian Haney (Columbia
)\; Milica Ðukic (Uppsala)\; Yann Guggisberg (Utrecht) as part of Symplec
tic zoominar\n\n\nAbstract\n-----\n\nI. Sebastian Haney (Columbia)\n\nTitl
e: Open enumerative mirror symmetry for lines in the mirror quintic\n\nAbs
tract:\n\nOne of the earliest achievements of mirror symmetry was the pred
iction \nof genus zero Gromov-Witten invariants for the quintic threefold
in \nterms of period integrals on the mirror. Analogous predictions for \n
open Gromov-Witten invariants in closed Calabi-Yau threefolds can be \nfor
mulated in terms of relative period integrals on the mirror\, which \ngove
rn extensions of variations of Hodge structure. I will discuss \nwork in w
hich I construct an immersed Lagrangian in the quintic which \nsupports a
family of objects in the Fukaya category mirror to vector \nbundles on lin
es in the mirror quintic\, and deduce its open \nGromov-Witten invariants
from homological mirror symmetry. The domain \nof this Lagrangian immersio
n is a closed 3-manifold obtained by gluing \ntogether two copies of a cus
ped hyperbolic 3-manifold. The open \nGromov-Witten invariants of the Lagr
angian are irrational numbers \nvalued in the invariant trace field of the
hyperbolic pieces.\n\n-----\n\nII. Milica Ðukic (Uppsala)\n\nTitle: A de
formation of the Chekanov-Eliashberg dg algebra using pseudoholomorphic an
nuli\n\nAbstract:\n\nWe introduce an SFT-type invariant for Legendrian kno
ts in \\(\\mathbb{R}^3\\)\, which is a deformation of the Chekanov-Eliashb
erg differential graded algebra. The differential includes components that
count index zero pseudoholomorphic disks with up to two positive puncture
s\, annuli with one positive puncture\, and a string topological component
. We also describe a combinatorial way to compute the invariant from the L
agrangian projection. \n\n-----\n\nIII. Yann Guggisberg (Utrecht)\n\nTitle
: Instantaneous Hamiltonian diplaceability and arbitrary squeezability for
critically negligible sets\n\nAbstract:\n\nThis talk will be about joint
work with Fabian Ziltener in which we show that a compact n-rectifiable su
bset of $\\mathbb{R}^{2n}$ with vanishing n-Hausdorff measure can be displ
aced from itself by a Hamiltonian diffeomorphism arbitrarily close to the
identity. This has the consequence that such a set can be arbitrarily symp
lectically squeezed\, i.e. embedded into any neighborhood of the origin in
$\\mathbb{R}^{2n}$.\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/139/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20241101T131500Z
DTEND:20241101T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/140
DESCRIPTION:Title: Classification of some open toric domains\nby Michael Hu
tchings (Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nWe show t
hat two generic\, open\, convex or concave toric domains in \\(\\mathbb{R}
^4\\) are symplectomorphic if and only if they agree up to reflection. The
proof uses barcodes in positive \\(S^1\\)-equivariant symplectic homology
\, or equivalently in cylindrical contact homology.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/140/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Pomerleano (UMB)
DTSTART:20241129T141500Z
DTEND:20241129T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/141
DESCRIPTION:Title: Non-commutative Cartier isomorphism and quantum cohomology\nby Daniel Pomerleano (UMB) as part of Symplectic zoominar\n\n\nAbstrac
t\nKaledin established a Cartier isomorphism for cyclic homology of dg-cat
egories over fields of characteristic p\, generalizing a classical constru
ction in algebraic geometry. In joint work with Paul Seidel\, we showed th
at this isomorphism and related results imply concrete statements about th
e structure of quantum connections on monotone symplectic manifolds (both
in characteristic p and characteristic zero). \n
\nI will explain
these results and\, if time permits\, I will also describe some open ques
tions concerning the enumerative interpretation of the Cartier isomorphism
as well as connections to quantum Steenrod operations.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/141/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Felix Schlenk (Neuchâtel)
DTSTART:20241122T141500Z
DTEND:20241122T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/142
DESCRIPTION:Title: New invariants for Hamiltonian isotopy classes of monotone L
agrangian torus fibers\nby Felix Schlenk (Neuchâtel) as part of Sympl
ectic zoominar\n\n\nAbstract\nBased on the exotic Lagrangian tori construc
ted in \\(\\mathbb{CP}^2\\) by Vianna and Galkin-Mikhalkin\, we construct
for each Markov triple three monotone Lagrangian tori in the 4-ball\, and
for triples with distinct entries show that these tori lie in different Ha
miltonian isotopy classes. Defining the outer radius of such a torus as th
e capacity of the smallest ball containing a representative of the Hamilto
nian isotopy class\, we compute the outer radius for an infinite sequence
of tori and show it distinguishes these tori.\n
\n We
do a similar study for monotone tori in the cube. If such a torus arises f
rom a degeneration of \\(S^2 \\times S^2\\) with triangular moment image\,
it gives rise to four different Hamiltonian isotopy classes of tori in th
e cube\; on the other hand\, if the monotone torus arises from a non-trivi
al degeneration with quadrilateral moment image\, it gives rise to eight d
ifferent Hamiltonian isotopy classes of tori in the cube. In particular\,
we find infinitely many pairs of monotone tori in \\(S^2 \\times S^2\\) wh
ich are symplectomorphic but not Hamiltonian isotopic.\n
\n
This talk is based on work joint with Richard Hind and Grisha Mikhal
kin.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/142/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Kragh (Uppsala)
DTSTART:20241213T141500Z
DTEND:20241213T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/143
DESCRIPTION:Title: Using h-cobordisms to detect non-trivial homotopy groups in
spaces of Legendrian\nby Thomas Kragh (Uppsala) as part of Symplectic
zoominar\n\n\nAbstract\nIn this talk I will first define the space of h-co
bordisms associated to a manifold M. This space is known to have many non-
trivial homotopy groups and in stable range (they can often be computed us
ing Waldhausen's algebraic K-theory of spaces). I will then define maps fr
om these spaces into certain spaces of Legendrians\, and I will describe h
ow we detect that these maps are to some extend non-trivial on homotopy gr
oups. A special case is that we essentially (and in stable range) find two
copies of the h-cobordism space of a point inside the space of Legendrian
s of the jet 1 bundle of the n-sphere based at a standard Legendrian unkno
t (the Whitney sphere).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/143/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengyi Zhou (AMSS\, CAS)
DTSTART:20250117T141500Z
DTEND:20250117T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/144
DESCRIPTION:Title: Kä\;hler compactification of \\(\\mathbb{C}^n\\) and Ree
b dynamics\nby Zhengyi Zhou (AMSS\, CAS) as part of Symplectic zoomina
r\n\n\nAbstract\nWe will present two results in complex geometry: (1) A K&
auml\;hler compactification of \\(\\mathbb{C}^n\\) with a smooth divisor c
omplement must be \\(\\mathbb{P}^n\\)\, which confirms a conjecture of Bre
nton and Morrow under the Kä\;hler assumption\; (2) Any complete asymp
totically conical Calabi-Yau metric on \\(\\mathbb{C}^3\\) with a smooth l
ink must be flat\, confirming a modified version of Tian’s conjecture re
garding the recognition of the flat metric among Calabi-Yau metrics in dim
ension 3. Both proofs rely on relating the minimal discrepancy number of a
Fano cone singularity to its Reeb dynamics of the conic contact form. Thi
s is a joint work with Chi Li.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/144/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jae Hee Lee (Stanford)\; Simon Vialaret (Bochum / Orsay)\; Kenneth
Blakey (MIT)
DTSTART:20241220T141500Z
DTEND:20241220T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/145
DESCRIPTION:Title: Three 20min research talks\nby Jae Hee Lee (Stanford)\;
Simon Vialaret (Bochum / Orsay)\; Kenneth Blakey (MIT) as part of Symplect
ic zoominar\n\n\nAbstract\n-----\n\nI. Jae Hee Lee (Stanford)\n\nTitle: Qu
antum Steenrod operations\, p-curvature\, and representation theory\n\nAbs
tract:\n\nQuantum Steenrod operations are deformations of classical Steenr
od operations on mod p cohomology defined by counts of genus 0 holomorphic
curves with a p-fold symmetry\, for a prime p. We explain their relations
hip with the p-curvature of the quantum connection\, and survey recent dev
elopments. This relationship was first noticed through the study of quantu
m Steenrod operations of symplectic resolutions\, a rich class of smooth s
ymplectic manifolds arising from representation theory. We describe the ro
le of quantum Steenrod operations in the 3D mirror symmetry program\, whic
h concerns a duality between such symplectic resolutions. Partly joint wit
h Shaoyun Bai.\n\n-----\n\nII. Simon Vialaret (Bochum / Orsay)\n\nTitle: S
ystolic inequalities for \\(S^1\\)-invariant contact forms\n\nAbstract:\n\
nIn contact geometry\, a systolic inequality aims to give a uniform upper
bound on the shortest period of a periodic Reeb orbit for contact forms wi
th fixed volume on a given manifold. This generalizes a well-studied notio
n in Riemannian geometry. It is known that there is no systolic inequality
valid for all contact forms on any given contact manifold. In this talk\,
I will state a systolic inequality for contact forms that are invariant u
nder a circle action in dimension three.\n\n-----\n\nIII. Kenneth Blakey (
MIT)\n\nTitle: Bounding Lagrangian intersections using Floer homotopy theo
ry\n\nAbstract:\n\nI will describe a new lower bound on the number of inte
rsection points of a Lagrangian pair\, in the exact setting\, using Steenr
od squares on Lagrangian Floer cohomology which are defined via a Floer ho
motopy type.\n\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/145/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Surena Hozoori (Rochester)
DTSTART:20250124T141500Z
DTEND:20250124T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/146
DESCRIPTION:Title: Regularity and persistence in non-Weinstein Liouville geomet
ry via hyperbolic dynamics\nby Surena Hozoori (Rochester) as part of S
ymplectic zoominar\n\n\nAbstract\nWe explore the construction of non-Weins
tein Liouville geometric objects based on Anosov 3-flows\, introduced by M
itsumatsu\, in the generalized framework of Liouville Interpolation System
s and non-singular partially hyperbolic flows. We discuss the subtle pheno
mena inherited from the regularity and persistence theory of hyperbolic dy
namics in the resulting Liouville structures\, and prove dynamical and geo
metric rigidity results in this context. Among other things\, we show that
Mitsumatsu's examples characterize 4-dimensional non-Weinstein Liouville
geometry with 3-dimensional \\(C^1\\)-persistent transverse skeleton. Time
permitting\, we also draw applications to the regularity theory of the we
ak dominated bundles for non-singular partially hyperbolic 3-flows.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/146/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhen Gao (Augsburg)\; Zihong Chen (MIT)\; Jonghyeon Ahn (UIUC)
DTSTART:20250131T141500Z
DTEND:20250131T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/147
DESCRIPTION:Title: Three 20min research talks\nby Zhen Gao (Augsburg)\; Zi
hong Chen (MIT)\; Jonghyeon Ahn (UIUC) as part of Symplectic zoominar\n\n\
nAbstract\n-----\n\nI. Zhen Gao (Augsburg)\n\nTitle: Morse-Bott Floer homo
logy and rectangular pegs\n\nAbstract: The rectangular peg problem\, an ex
tension of the square peg problem\, is easy to outline but challenging to
prove through elementary methods. In this talk\, I discuss how to show the
existence and a generic multiplicity result assuming the Jordan curve is
smooth\, utilizing Morse-Bott Floer homology. In particular\, we obtain a
convenient formula for computing the algebraic intersection number of clea
nly intersecting Lagrangian submanifolds\, which is well consistent with t
he Euler characteristic of Morse-Bott Floer homology in the spirit of "cat
egorification''.\n\n-----\n\nII. Zihong Chen (MIT)\n\nTitle: The exponenti
al type conjecture for quantum connection\n\nAbstract:\n\nThe (small) quan
tum connection is one of the simplest objects built out of Gromov-Witten t
heory\, yet it gives rise to a repertoire of rich and important questions
such as the Gamma conjectures and the Dubrovin conjectures. There is a ver
y basic question one can ask about this connection: what is its formal sin
gularity type? People's expectation for this is packaged into the so-calle
d exponential type conjecture\, and I will discuss a proof in the case of
closed monotone symplectic manifolds. My approach follows a reduction mod
p argument\, by combining Katz's classical result on differential equation
s and the more recent quantum Steenrod operations.\n\n-----\n\nIII. Jonghy
eon Ahn (UIUC)\n\nTitle: \\(S^1\\)-equivariant relative symplectic cohomol
ogy and relative symplectic capacities\n\nAbstract:\n\nIn this talk\, I wi
ll construct an \\(S^1\\)-equivariant version of the relative symplectic c
ohomology developed by Varolgunes. As an application\, I will construct a
relative version of Gutt-Hutchings capacities and a relative version of sy
mplectic (co)homology capacity. We will see that these relative symplectic
capacities can detect the diplaceability and the heaviness of a compact s
ubset of a symplectic manifold. We compare the first relative Gutt-Hutchin
gs capacity and the relative symplectic (co)homology capacity and prove th
at they are equal to each other under a convexity assumption.\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/147/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vukašin Stojisavljević (CRM\, UdeM)
DTSTART:20250228T141500Z
DTEND:20250228T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/148
DESCRIPTION:Title: On certain \\(C^0\\)-aspects of contactomorphism groups\
nby Vukašin Stojisavljević (CRM\, UdeM) as part of Symplectic zoominar\n
\n\nAbstract\nWe will explore certain \\(C^0\\)-rigidity and flexibility p
henomena in the study of contact transformations. In particular\, we will
show how the dichotomy between contact squeezing and non-squeezing is rela
ted to the Rokhlin property of the group of contact homeomorphisms. Assumi
ng a more quantitative viewpoint\, we will define new distances on the gro
up of contact homeomorphisms and show that\, in some cases\, they satisfy
a form of \\(C^0\\)-stability. A technical result behind this stability is
\\(C^0\\)-continuity of Sandon's spectral invariants. The talk is based o
n a joint work with Baptiste Serraille.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/148/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Arlove (Strasbourg)
DTSTART:20250221T141500Z
DTEND:20250221T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/149
DESCRIPTION:Title: Contact non-squeezing in various closed prequantizations
\nby Pierre-Alexandre Arlove (Strasbourg) as part of Symplectic zoominar\n
\n\nAbstract\nI will describe and argue the existence of contact non-squee
zing phenomena in contact lens spaces and in strongly orderable prequantiz
ations.
\nThe proof is based on the construction of contact capacities
coming from spectral selectors defined on the contactomorphisms group of
the latter contact manifolds. I will define all these notions during my ta
lk.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/149/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Hind (Notre Dame)
DTSTART:20250214T141500Z
DTEND:20250214T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/150
DESCRIPTION:Title: Lagrangian intersections and the shape invariant\nby Ric
hard Hind (Notre Dame) as part of Symplectic zoominar\n\n\nAbstract\nWe wi
ll outline the proof of an intersection result between embedded Lagrangian
tori and certain 1 parameter families of product Lagrangian tori in the 4
dimensional symplectic cylinder. The theorem can be applied to give new c
omputations of the shape invariant\, describing the Lagrangian tori in som
e toric domains\, and therefore to produce symplectic embedding obstructio
ns. This is joint work with Ely Kerman.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/150/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noah Porcelli (Imperial)
DTSTART:20250321T131500Z
DTEND:20250321T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/151
DESCRIPTION:Title: Parametrised Whitehead torsion of families of nearby Lagrang
ians\nby Noah Porcelli (Imperial) as part of Symplectic zoominar\n\n\n
Abstract\nThe parametrised Whitehead torsion is an invariant of families o
f manifolds\, and can be viewed as a map to an algebraic K-theory space. A
strong version of the nearby Lagrangian conjecture says that when applied
to families of closed exact Lagrangians in a cotangent bundle\, this inva
riant vanishes.
\n Abouzaid and Kragh showed that in this case\,
this map lands in the trivial path component of the target\, i.e. is triv
ial on $\\pi_0$. Using generating functions\, we find strong constraints o
n what this map does to higher homotopy groups. I'll illustrate this with
some concrete consequences for the symplectic mapping class group of $T^*T
^n$ relative to the 0-section.
\n This is based on joint work-in
-progress with Sylvain Courte.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/151/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yin Li (Uppsala)
DTSTART:20250328T131500Z
DTEND:20250328T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/152
DESCRIPTION:Title: Persistence of unknottedness of Lagrangian intersect\nby
Yin Li (Uppsala) as part of Symplectic zoominar\n\n\nAbstract\nThe double
bubble plumbing\, first studied by Smith and Wemyss\, is a Stein neighbor
hood of two Lagrangian 3-spheres intersecting cleanly along an unknotted c
ircle in some 6-dimensional symplectic manifold. Depending on the identifi
cation of the normal bundle of the unknot\, there are infinitely many such
Stein neighborhoods. We prove that there is no Hamiltonian isotopy of the
Lagrangian spheres in any of these Stein neighborhoods so that they becom
e two spheres intersecting along a circle which is knotted in either compo
nent\, contradicting what happens under smooth isotopies. The proof uses t
he exact Calabi-Yau structures on the wrapped Fukaya categories to classif
y spherical Lagrangians in double bubble plumbings. This is joint work wit
h Johan Asplund.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/152/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tara Holm (Cornell)
DTSTART:20250418T131500Z
DTEND:20250418T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/153
DESCRIPTION:Title: Equivariant cohomology and the (symplectic) diffeotype of co
mplexity-one four-manifolds\nby Tara Holm (Cornell) as part of Symplec
tic zoominar\n\n\nAbstract\nIn this talk\, we will explore the relationshi
p between the geometry and topology of a complexity-one four-manifold and
the combinatorial data that encode it. We will use a generators-and-relat
ions description for the even part of the equivariant cohomology of the ma
nifold to see what geometric aspects the equivariant cohomology determines
. Namely\, it allows us to reconstruct the diffeotype but not the complex
structure. The talk will be driven by specific examples and pictures. It
is based on joint work with Liat Kessler and Susan Tolman.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/153/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Ritter (Oxford)
DTSTART:20250509T131500Z
DTEND:20250509T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/154
DESCRIPTION:Title: Equivariant Floer theory for symplectic C*-manifolds\nby
Alexander Ritter (Oxford) as part of Symplectic zoominar\n\n\nAbstract\nT
he talk will be on recent progress in a series of joint papers with Filip
&Zcaron\;ivanovi&cacute\;\, about a large class of non-compact symplectic
manifolds\, which includes semiprojective toric manifolds\, quiver varieti
es\, and conical symplectic resolutions of singularities. These manifolds
admit a Hamiltonian circle action which is part of a pseudo-holomorphic ac
tion of a complex torus. The symplectic form on these spaces is highly non
-exact\, yet we can make sense of Hamiltonian Floer cohomology for functio
ns of the moment map of the circle action. We showed that Floer theory ind
uces a filtration by ideals on quantum cohomology. I will explain recent p
rogress on equivariant Floer cohomology for these spaces\, in which case w
e obtain a filtration on equivariant quantum cohomology. If time permits\,
I will also mention a presentation of symplectic cohomology and quantum c
ohomology for semiprojective toric manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/154/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vinicius Ramos (IMPA)
DTSTART:20250425T131500Z
DTEND:20250425T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/155
DESCRIPTION:Title: Integrable systems and toric contact forms on $\\mathbb{RP}^
3$\nby Vinicius Ramos (IMPA) as part of Symplectic zoominar\n\n\nAbstr
act\nIt is well-known that the geodesic flow on ellipsoids of revolution i
s integrable. In joint work with Ferreira and Vicente\, we used this fact
to obtain a symplectomorphism between the unit disk bundle of such an elli
psoid without fiber and a toric domain. In this talk\, I will explain this
result and how we can also obtain a symplectomorphism between the whole u
nit disk bundle and a toric filling of \\(\\mathbb{RP}^3\\)\, which can be
concave or convex depending on the original ellipsoid. I will also explai
n how to generalize this idea to other situations.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/155/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexia Corradini (Cambridge)\; Ibrahim Trifa (ETH)\; Stefan Matije
vić (Bochum)
DTSTART:20250411T131500Z
DTEND:20250411T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/156
DESCRIPTION:Title: Three 20min research talks\nby Alexia Corradini (Cambrid
ge)\; Ibrahim Trifa (ETH)\; Stefan Matijević (Bochum) as part of Symplect
ic zoominar\n\n\nAbstract\n-----\n\nI. Alexia Corradini (Cambridge)\n\nTit
le: The Lagrangian Ceresa cycle\n\nAbstract: In algebraic geometry\, the C
eresa cycle provided one of the first examples of a nullhomologous cycle w
hich is not algebraically trivial. I will explain how one can obtain a mir
ror statement about the Lagrangian Ceresa cycle\, a nullhomologous Lagrang
ian living in a symplectic six-torus. This requires introducing a new equi
valence relation on Lagrangians in a symplectic manifold\, algebraic Lagra
ngian cobordism\, inspired by algebraic equivalence. \n\n-----\n\nII. Ibra
him Trifa (ETH)\n\nTitle: A local quasimorphism property for link spectral
invariants\n\nAbstract: Given a finite collection of disjoint Lagrangian
circles on a symplectic surface satisfying some area constraints\, Cristof
aro-Gardiner\, Humiliè\;re\, Mak\, Seyfaddini and Smith define a lin
k spectral invariant\, by computing the Lagrangian Floer homology of the p
roduct of the circles inside the symmetric product of the surface. When th
e surface is the sphere\, this spectral invariant is a quasimorphism\, how
ever this is not the case for higher genus surfaces. In this talk\, I will
show that the link spectral invariants on higher genus surfaces are local
quasimorphisms\, i.e. that their restriction to Hamiltonian diffeomorphis
ms supported in any given topological disc inside the surface is a quasimo
rphism. This is a joint work with Cheuk Yu Mak.\n\n-----\n\nIII. Stefan Ma
tijević (Bochum)\n\nTitle: Systolic \\(S^1\\)-index and characterization
of non-smooth Zoll convex bodies\n\nAbstract: We define the systolic $S^1$
-index of a convex body as the Fadell–Rabinowitz index of the space of c
entralized generalized systoles associated with its boundary. We show that
this index is a symplectic invariant. Using the systolic $S^1$-index\, we
propose a definition of generalized Zoll convex bodies and prove that thi
s definition is equivalent to the usual one in the smooth setting. Moreove
r\, we show how generalized Zoll convex bodies can be characterized in ter
ms of their Gutt–Hutchings capacities and we prove that the space of gen
eralized Zoll convex bodies is closed in the space of all convex bodies. A
s a corollary\, we establish that if the interior of a convex body is symp
lectomorphic to the interior of a ball\, then such a convex body must be g
eneralized Zoll\, and in particular Zoll if its boundary is smooth.\n\n---
--\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/156/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joé Brendel (ETH)
DTSTART:20250523T131500Z
DTEND:20250523T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/157
DESCRIPTION:Title: Markov staircases\nby Joé Brendel (ETH) as part of Symp
lectic zoominar\n\n\nAbstract\nIn this talk\, we will discuss new infinite
symplectic staircases. Much recent progress has been made in the study of
infinite symplectic staircases arising from embedding problems of standar
d ellipsoids into various symplectic four-manifolds. We study new embeddin
g problems\, where the domains are "ellipsoid-like" neighbourhoods of Lagr
angian pinwheels instead of standard ellipsoids. Using almost toric fibrat
ions\, we show that every Lagrangian pinwheel in the complex projective pl
ane (and thus every Markov number) has an infinite symplectic staircase. T
his is joint work with Jonny Evans\, Johannes Hauber and Felix Schlenk.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/157/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rémi Leclercq (Paris)
DTSTART:20250502T131500Z
DTEND:20250502T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/158
DESCRIPTION:Title: Local persistence of Lagrangian intersections\nby Rémi
Leclercq (Paris) as part of Symplectic zoominar\n\n\nAbstract\nGiven a Lag
rangian $L$\, I will discuss the existence of a neighborhood $W$ of $L$ wi
th the following property: for any Hamiltonian diffeomorphism $f$\, if $f(
L)$ is contained inside $W$\, then $f(L)$ intersects $L$.\n\nOn the one ha
nd\, for any symplectic manifold of dimension at least 6\, I will construc
t Lagrangians which do not admit any such neighborhoods. On the other hand
\, I will give conditions which ensure the existence of such neighborhoods
for a large class of Lagrangians. These conditions actually ensure the ex
actness of certain nearby Lagrangians\, and I will discuss further applica
tions of this phenomenon. This is based on joint work with Marcelo Atallah
\, Jean-Philippe Chassé\, and Egor Shelukhin.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/158/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basak Gurel (UCF)
DTSTART:20250530T131500Z
DTEND:20250530T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/159
DESCRIPTION:Title: Towards the HZ- and multiplicity conjectures for dynamically
convex Reeb flows\nby Basak Gurel (UCF) as part of Symplectic zoomina
r\n\n\nAbstract\nIn this talk we discuss the multiplicity question for pri
me closed orbits of a dynamically convex Reeb flow on the boundary of a 2n
-dimensional star-shaped domain. Our first main result asserts that such a
flow has at least n prime closed Reeb orbits\, settling a conjecture whic
h is usually attributed to Ekeland. The second main theorem is that when\,
in addition\, the domain is centrally symmetric and the Reeb flow is non-
degenerate\, the flow has either exactly n or infinitely many prime closed
orbits. This is a higher-dimensional contact variant of Franks' celebrate
d 2-or-infinity theorem and\, viewed from the symplectic dynamics perspect
ive\, settles a particular case of the contact Hofer-Zehnder conjecture. T
he talk is based on a joint work with Erman Cineli and Viktor Ginzburg.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/159/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roman Krutowski (UCLA)
DTSTART:20250516T131500Z
DTEND:20250516T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/160
DESCRIPTION:Title: Morse theory of loop spaces and Hecke algebras\nby Roman
Krutowski (UCLA) as part of Symplectic zoominar\n\n\nAbstract\nOne can as
sociate an HDHF (symmetric) wrapped Fukaya category to a Liouville domain
by counting higher genus curves\, which are required to be branched covers
. For the cotangent bundle of an orientable surface with genus at least on
e Honda\, Tian\, and Yuan showed that the \\(A_\\infty\\)-algebra associa
ted with k disjoint cotangent fibers is quasi-equivalent to the HOMFLY-PT
braid skein algebra of the surface.\n\nIn this talk\, I will present a Mor
se-theoretic model that computes the HDHF \\(A_\\infty\\)-algebra of k fib
ers of the cotangent bundle of an orientable smooth manifold. We use this
model to describe the \\(A_\\infty\\)-algebra of k cotangent fibers of the
two-dimensional sphere\, and show that it is quasi-equivalent to a certai
n dga. This talk is based on a joint work with Honda\, Tian\, and Yuan.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/160/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuo Zhang (MCM)\; Kifung Chan (CUHK)\; May Sela (HUJI)
DTSTART:20250613T131500Z
DTEND:20250613T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/161
DESCRIPTION:Title: Three 20min research talks\nby Shuo Zhang (MCM)\; Kifung
Chan (CUHK)\; May Sela (HUJI) as part of Symplectic zoominar\n\n\nAbstrac
t\n-----\n\nI. Shuo Zhang (MCM)\n\nTitle: Composed Dehn twis
t exact sequence through quilts and \\((A_\\infty\, n)\\) modules\n\nAb
stract: We prove the quilted Floer cochain complexes form \\( (A_\\inf
ty\, n)\\) modules over the Fukaya category \\(Fuk(M \\times M^-)\\). Then
we prove that when we restrict the input to mapping cones of product Lagr
angians and graphs\, the resulting bar-type complex can be identified with
bar complex from ordinary Floer theory. As an application we prove two lo
ng exact sequences conjectured by Seidel that relates the Lagrangian Floer
cohomology of a collection of (possibly intersecting) Lagrangian spheres
\\({L_i}\\) and the fixed point Floer cohomology of composed Dehn twists \
\(\\tau_{L_1} \\circ \\cdots \\tau_{L_n}\\) along them. \n\n-----\n\nII. <
b>Kifung Chan (CUHK)\n\nTitle: Mirror symmetry of nonabelian gr
oup actions\n\nAbstract:\nThis talk is based on joint work with Nai
chung Conan Leung. We study the mirror symmetry of nonabelian group action
s on symplectic manifolds. We show that the presence of a nonabelian symme
try imposes constraints on non-displaceable Lagrangian branes. This work i
s motivated by our earlier proposal to understand 3d mirror symmetry via S
YZ-type transforms.\n\n-----\n\nIII. May Sela (HUJI)\n\nTitle: Mirror symmetry for open Gromov–Witten invariants of Fano manifolds\n
\nAbstract: In this talk\, I will introduce a class of numerical in
variants associated with matrix factorizations\, constructed to mirror ope
n Gromov–Witten invariants. Matrix factorizations are algebraic objects
expected to correspond\, under mirror symmetry\, to Lagrangian submanifold
s in Fano manifolds. I will describe the non-Archimedean framework require
d for defining these invariants and present results concerning their struc
ture. This is joint work with J. Solomon.\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/161/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacopo Stoppa (SISSA\, Trieste)
DTSTART:20250620T131500Z
DTEND:20250620T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/162
DESCRIPTION:Title: A toric case of the Thomas-Yau conjecture\nby Jacopo Sto
ppa (SISSA\, Trieste) as part of Symplectic zoominar\n\n\nAbstract\nWe con
sider a class of Lagrangian sections L contained in certain Calabi-Yau Lag
rangian fibrations (mirrors of toric weak Fano manifolds). We prove that a
form of the Thomas-Yau conjecture holds in this case: L is Hamiltonian is
otopic to a special Lagrangian section in this class if and only if a stab
ility condition holds\, in the sense of a slope inequality on objects in a
set of exact triangles in the Fukaya-Seidel category. This agrees with ge
neral proposals by Li. Under more restrictive assumptions\, this result ca
n be used to show a precise relation with Bridgeland stability\, as predic
ted by Joyce. Based on arXiv:2505.07228.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/162/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20251017T131500Z
DTEND:20251017T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/163
DESCRIPTION:Title: Reeb orbits frequently intersecting a symplectic surface
\nby Michael Hutchings (Berkeley) as part of Symplectic zoominar\n\n\nAbst
ract\nConsider a symplectic surface in a three-dimensional contact manifol
d with boundary on Reeb orbits. We assume that the rotation numbers of the
boundary Reeb orbits satisfy a certain inequality\, and we also make a te
chnical assumption that the Reeb vector field has a particular "nice" form
near the boundary of the surface. We then show that there exist Reeb orbi
ts which intersect the interior of the surface\, with a lower bound on the
frequency of these intersections in terms of the symplectic area of the s
urface and the contact volume of the three-manifold. No genericity of the
contact form is assumed. The proof uses "elementary" spectral invariants o
f contact three-manifolds. An application of this result gives a very gene
ral relation between mean action and the Calabi invariant for area-preserv
ing surface diffeomorphisms.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/163/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Filip Broćić (Augsburg)
DTSTART:20251024T131500Z
DTEND:20251024T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/164
DESCRIPTION:Title: Arnol’d’s chord conjecture for conormal Legendrian lifts
\nby Filip Broćić (Augsburg) as part of Symplectic zoominar\n\n\nAbs
tract\nThe chord conjecture\, due initially to Arnol’d in the case of th
e standard\ncontact three-sphere\, asserts the existence of a Reeb chord w
ith boundary on every\nclosed Legendrian submanifold of a closed contact m
anifold for every contact form.\nThis conjecture was established in variou
s settings by Cieliebak\, Mohnke\, Hutchings\nand Taubes\, and others. In
this talk\, I will sketch a proof of the chord conjecture for\nconormal bu
ndles of closed submanifolds of any closed manifold seen as Legendrians\ni
n the co-sphere bundle. This generalizes a result of Grove in Riemannian g
eometry\nregarding the existence of geodesics normal to the submanifold. T
he method of\nproof involves wrapped Floer cohomology with local coefficie
nts. This talk is based\non joint work with Dylan Cant and Egor Shelukhin.
\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/164/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shah Faisal (IRMA\, Strasbourg)
DTSTART:20251114T141500Z
DTEND:20251114T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/165
DESCRIPTION:Title: Extremal Lagrangian tori in toric domains\nby Shah Faisa
l (IRMA\, Strasbourg) as part of Symplectic zoominar\n\n\nAbstract\nThe sy
mplectic area of a Lagrangian submanifold $L$ in a symplectic manifold is
defined as the minimal positive symplectic area of a smooth 2-disk with bo
undary on $L$. A Lagrangian torus is called extremal if it maximizes the s
ymplectic area among all Lagrangian tori. I will explain that every extrem
al Lagrangian torus in the standard symplectic unit ball is entirely conta
ined in the boundary of the ball. This result confirms a conjecture of Cie
liebak and Mohnke in the affirmative. (Ref: arXiv:2504.13076)\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/165/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Baptiste Serraille (ETH)\; Spencer Cattalani (Stony Brook)\; Giova
nni Ambrosioni (ETH)
DTSTART:20251031T131500Z
DTEND:20251031T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/166
DESCRIPTION:Title: Three 20min research talks\nby Baptiste Serraille (ETH)\
; Spencer Cattalani (Stony Brook)\; Giovanni Ambrosioni (ETH) as part of S
ymplectic zoominar\n\n\nAbstract\n-----\n\nI. Baptiste Serraille (ETH)<
/b>\n\nTitle: On a linear combination of link spectral invariants o
n the sphere\n\nAbstract: Link spectral invariants and their homoge
nizations have been defined by Cristofaro-Gardiner et.al. In joint work wi
th Ibrahim Trifa\, we define a linear combination of such quasimorphism an
d show that it vanishes on the stabilizer of the equator in $S^2$. We will
discuss this result and how it relates to the\, still open\, equator conj
ecture.\n\n-----\n\nII. Spencer Cattalani (Stony Brook)\n\nTitle
: Ahlfors currents and symplectic non-hyperbolicity\n\nAbstract: Rational curves are one of the main tools in symplectic geometry and pro
vide a bridge to algebraic geometry. Complex lines are a more general clas
s of curve that has the potential to connect symplectic and complex analyt
ic geometry. These curves are non-compact\, which presents a serious diffi
culty in understanding their symplectic aspects. In this talk\, I will exp
lain how Ahlfors currents can be used to resolve this difficulty and produ
ce a theory parallel to that of rational curves. In particular\, Ahlfors c
urrents can be constructed via a continuity method\, they control bubbling
of holomorphic curves\, and they form a convex set.\n\n-----\n\nIII. G
iovanni Ambrosioni (ETH)\n\nTitle: Approximability for Lagrangi
an submanifolds\n\nAbstract: In this talk I will introduce a new no
tion of approximability for metric spaces that can be seen as a categorifi
cation of a concept introduced by Turing for metric groups and as a genera
lization of total-boundedness. I will explain how recent technological adv
ances in symplectic topology and persistence category theory allow us to t
alk about approximablity of spaces of Lagrangian submanifolds and discuss
applications to rigidity and complexity of Lagrangians\, as well as potent
ial relations to open problems in Lagrangian topology. This talk is based
on joint work with Paul Biran and Octav Cornea.\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/166/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Miller (UdeM)\; Julio Sampietro Christ (Paris)\; Salammbo Con
nolly (Paris)
DTSTART:20251128T141500Z
DTEND:20251128T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/167
DESCRIPTION:Title: Three 20min research talks\nby John Miller (UdeM)\; Juli
o Sampietro Christ (Paris)\; Salammbo Connolly (Paris) as part of Symplect
ic zoominar\n\n\nAbstract\n-----\n\nI. TBD\n\n\n\n-----\n\nII. Julio Sampietro Christ (Par
is)\n\nTitle: Equivariant Lagrangian non-displacements\n\nAb
stract: Lagrangian Floer theory is useful to detect non-displaceabilit
y of Lagrangian submanifolds via Hamiltonian isotopies. A related question
\, in the presence of a group action\, is whether a certain Lagrangian is
equivariantly displaceable\, that is by a Hamiltonian isotopy that commute
s with a group action. I will address this question in certain settings wh
ere the group is $\\mathbb{Z}_2$\, the key example being $S^1$-invariant L
agrangians in $\\mathbb{C}^n$\, by developing a $\\mathbb{Z}_2$-equivarian
t Floer cohomology in the spirit of Seidel's construction and computing it
using Biran-Khanevsky's Floer-Euler class. This is joint work with Dylan
Cant.\n\n\n-----\n\nIII. Salammbo Connolly (Paris)\n\nTitle:
Continuation maps for the Morse fundamental group\n\nAbstract: Giv
en a Morse-Smale pair on a manifold \\(M\\)\, it is possible to entirely r
ecover its fundamental group in a combinatorial manner. We call this const
ruction the Morse fundamental group. Motivated by a similar construction o
f a « Floer fundamental group » by Barraud\, and by the many uses of con
tinuation maps in symplectic topology\, I will explain in this talk how co
ntinuation maps give us functoriality and invariance of the Morse fundamen
tal group\, and what the differences are with the usual homological setup.
\n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/167/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicki Magill (Berkeley)
DTSTART:20251212T141500Z
DTEND:20251212T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/168
DESCRIPTION:Title: Generalized convex toric domains and symplectic embedding pr
oblems\nby Nicki Magill (Berkeley) as part of Symplectic zoominar\n\n\
nAbstract\nA convex toric domain $X_\\Omega$ is a 4-dimensional subset of
$\\mathbb{R}^4$\, defined as the preimage of a bounded convex region $\\Om
ega$ in the positive quadrant of $\\mathbb{R}^2$ under the moment map. We
consider how geometric features of $\\Omega$ such as the curviness of its
boundary and its affine perimeter impact symplectic packing problems. Some
of our results come from considering the asymptotics of the ECH capacitie
s. These capacities are known to obey a Weyl law and thus detect the volum
e of $X_\\Omega$. We show that their subleading asymptotics detect the aff
ine perimeter of $\\Omega$. We’ll discuss how these asymptotic results l
ead to new applications in symplectic embedding problems. This is based on
joint work with Dan Cristofaro-Gardiner and Dusa McDuff.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/168/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Edtmair (ETH)
DTSTART:20260116T141500Z
DTEND:20260116T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/169
DESCRIPTION:Title: On the topological invariance of helicity\nby Oliver Edt
mair (ETH) as part of Symplectic zoominar\n\n\nAbstract\nHelicity is an in
variant of divergence free vector fields on a three-manifold. One of its f
undamental properties is invariance under volume preserving diffeomorphism
s. Arnold\, having derived an ergodic interpretation of helicity as an asy
mptotic Hopf invariant\, asked whether helicity remains invariant under vo
lume preserving homeomorphisms\, and more generally\, whether it admits an
extension to topological volume preserving flows. In this talk\, I will p
resent an affirmative answer to both questions for non-singular flows. The
proof draws on recent advances in $C^0$ symplectic geometry\, in particul
ar regarding the algebraic structure of the group of area preserving homeo
morphisms\, which I will also survey. This is based on joint work with Sob
han Seyfaddini.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/169/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Arlove (Strasbourg)
DTSTART:20251219T141500Z
DTEND:20251219T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/170
DESCRIPTION:Title: Invariant distances on Legendrian spaces\nby Pierre-Alex
andre Arlove (Strasbourg) as part of Symplectic zoominar\n\n\nAbstract\nI
will begin by motivating the study of invariant distances on spaces of Leg
endrians. I will then discuss two main results:
\n(a) the construction
of a new unbounded invariant distance on the universal cover of many Lege
ndrian isotopy classes \;
\n(b) the discreteness of any invariant dist
ance on Legendrian isotopy classes.\n\nIn particular\, we will see that (a
) arises from contact rigidity\, whereas (b) follows from contact flexibil
ity.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/170/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Humilière (Paris)
DTSTART:20251121T141500Z
DTEND:20251121T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/171
DESCRIPTION:Title: Higher dimensional Birkhoff attractors\nby Vincent Humil
ière (Paris) as part of Symplectic zoominar\n\n\nAbstract\nThe Birkhoff a
ttractor is a closed invariant subset associated with any dissipative twis
t map of the annulus (of dimension 2)\, which was introduced by Birkhoff i
n 1932. We will see that it can be generalized to higher dimensions using
tools from symplectic topology\, namely the spectral distance and the gamm
a-support. This is based on joint work with Marie-Claude Arnaud and Claude
Viterbo.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/171/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elad Kosloff (HUJI)\; Joel Schmitz (Neuchâtel)
DTSTART:20260123T141500Z
DTEND:20260123T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/172
DESCRIPTION:Title: Two 20min research talks\nby Elad Kosloff (HUJI)\; Joel
Schmitz (Neuchâtel) as part of Symplectic zoominar\n\n\nAbstract\n-----\n
\nI. Elad Kosloff (HUJI) \n\nTitle: Open Gromov-Witten invariants f
or even-dimensional Lagrangians\n\nAbstract:\nI'll introduce the ge
nus zero open Gromov-Witten invariants for even-dimensional Lagrangians. T
he definition relies on a canonical family of bounding cochains satisfying
the point-like condition of Solomon-Tukachinsky\, with non-commutative co
efficients. In dimension two\, these recover Welschinger's invariants. I'l
l also present computations for even dimensional quadric hypersurfaces\, d
emonstrating that these invariants can be non-vanishing in high dimensions
with multiple boundary constraints.\n\n-----\n\nII. Joel Schmitz (Neuchâ
tel)\n\nTitle: Tropical wave-fronts & nodal tangles\n\nAbstract:
\nGiven a symplectic 4-manifold it may admit multiple toric fibrations
. These can be seen as boundary points of the moduli space of almost toric
fibrations. We will sketch that all toric fibrations are in the same conn
ected component of this moduli space\, as suggested by Symington. For this
we use some results from tropical geometry. \n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/172/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pranav Chakravarthy (ULB)
DTSTART:20260130T141500Z
DTEND:20260130T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/173
DESCRIPTION:Title: Non-squeezing and other rigidity results in LCS geometry
\nby Pranav Chakravarthy (ULB) as part of Symplectic zoominar\n\n\nAbstrac
t\nLocally conformally symplectic (LCS) manifolds are generalisations of s
ymplectic manifolds where the 2-form is not closed but instead satisfies t
he identity $d\\omega= \\eta \\wedge \\omega$ for a closed 1-form $\\eta$.
The study of these manifolds is equivalent to that of symplectic manifold
s when $\\eta$ is exact\; however\, they resemble the behaviour of contact
manifolds when $\\eta$ has no zeroes. Using the theory of generating func
tions for Lagrangians in the twisted cotangent bundle\, we define spectral
selectors for Hamiltonian LCS diffeomorphisms of $S^1 \\times \\mathbb{R}
^{2n} \\times S^1$ and $S^1 \\times \\mathbb{R}^{2n+1}$ and a LCS capacity
for domains in $S^1 \\times \\mathbb{R}^{2n} \\times S^1$\, thereby givin
g us a version of the non-squeezing theorem on this manifold. Time permitt
ing\, we shall also see how we can define a partial order on the group of
compactly supported LCS Hamiltonian diffeomorphisms on $S^1 \\times \\math
bb{R}^{2n} \\times S^1$ and $S^1 \\times \\mathbb{R}^{2n+1}$ and a bi-inv
ariant metric on the group of compactly supported LCS Hamiltonian diffeomo
rphisms of $S^1 \\times \\mathbb{R}^{2n} \\times S^1$. This is joint work
with Mélanie Bertelson and Margherita Sandon.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/173/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhijing Wendy Wang (Chicago)
DTSTART:20260213T141500Z
DTEND:20260213T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/174
DESCRIPTION:Title: Complexity of Hofer’s geometry in some higher dimensional
manifolds\nby Zhijing Wendy Wang (Chicago) as part of Symplectic zoomi
nar\n\n\nAbstract\nThe group of Hamiltonian diffeomorphisms \\(Ham(M\, ω)
\\)\, equipped with the Hofer metric \\(d_H\\)\, is a central object in sy
mplectic topology. A landmark result by Polterovich and Shelukhin establis
hed the profound geometric complexity of this group for surfaces and their
products\, showing that high powers are sparse in the metric space. More
recently\, Álvarez-Gavela et al. demonstrated that the free group embeds
quasi-isometrically into Ham of surfaces\, revealing its large-scale non-c
ommutativity.\n\nIn this talk\, I will review these results and present a
generalization to some higher-dimensional symplectic manifolds\, including
surface bundles. We prove robust obstructions that prevent a Hamiltonian
diffeomorphism from being a \\(k\\)-th power (for \\(k ≥ 2\\)) or from b
eing embedded in a flow. We also show that every asymptotic cone of \\((Ha
m(M\, ω)\, d_H)\\) for our higher-dimensional manifolds contains an embed
ded free group.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/174/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emilia Konrad (Augsburg)\, Levin Maier (Heidelberg)\, Ciprian Bonc
iocat (Stanford)
DTSTART:20260227T141500Z
DTEND:20260227T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/175
DESCRIPTION:Title: Three 20min research talks\nby Emilia Konrad (Augsburg)\
, Levin Maier (Heidelberg)\, Ciprian Bonciocat (Stanford) as part of Sympl
ectic zoominar\n\n\nAbstract\n-----\n\nI. Emilia Konrad (Augsburg)\n\nT
itle: Construction of constrained Floer homology\n\nAbstract:\n
We consider the symplectic area functional\, constrained to loops of vanis
hing Hamiltonian mean value: It has the same critical points as the Rabino
witz action functional\, and can be used to define a similar Floer homolog
y. In contrast to RFH\, it admits an intrinsic product structure\, but als
o involves a non-local term in the gradient flow equation.
\nThis talk
will delve into the Fredholm and compactness results required to define C
FH\, and also discuss some remaining „mysteries“. \n\n-----\n\nII. Lev
in Maier (Heidelberg)\n\nTitle:\nFrom geometric ydrodynamics to per
iodic geodesics on manifolds of mappings\n\nAbstract:\nIn this talk
\, we begin by recalling Arnold’s geometric formulation of hydrodynamics
and then extend this framework to a broader class of Hamiltonian systems\
, incorporating various PDEs arising in mathematical physics. This motivat
es the study of infinite-dimensional manifolds and\, in particular\, half
Lie groups: topological groups in which right multiplication is smooth whi
le left multiplication is only continuous. Important examples include grou
ps of \\(H^{s}\\)- or \\(C^{k}\\)-diffeomorphisms of compact manifolds.\n<
br/>
\nWithin this setting\, we establish several Hopf–Rinow type th
eorems for right-invariant magnetic systems and for certain Lagrangian sys
tems on half Lie groups\, thereby extending recent results of Bauer–Harm
s–Michor from the case of geodesic flows to this more general context. F
inally\, we show that any non-aspherical half Lie group equipped with a st
rong Riemannian metric necessarily admits a contractible periodic geodesic
.\n
\nThis talk is based partially on joint work with M. Bauer an
d F. Ruscelli.\n\n\n-----\n\nIII. Ciprian Bonciocat (Stanford)\n\nTitle
: Degenerate Lagrangian intersections and parametric Floer homotopy th
eory\n\n\n\nAbstract: \nIn this talk I will introduce the idea of F
loer homotopy theory and show how it can be used to give lower bounds on d
egenerate Lagrangian intersections\, in the case of plumbings of cotangent
bundles along a submanifold. The strength of the invariant comes from inc
orporating all additional choices involved in the construction of the stab
le homotopy type\, resulting in a parameterized spectrum. The work is join
t with Kenneth Blakey. \n\n-----\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/175/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ko Honda (UCLA)
DTSTART:20260327T131500Z
DTEND:20260327T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/176
DESCRIPTION:Title: Higher-dimensional Heegaard Floer homology and spectral netw
orks\nby Ko Honda (UCLA) as part of Symplectic zoominar\n\n\nAbstract\
nLet $C$ be a closed surface and $\\Sigma \\subset T^*C$ a real exact Lagr
angian surface associated to a spectral curve. In this talk we will first
try to explain the context of this work (e.g.\, Higgs bundles and spectra
l curves). We then construct a homomorphism from the $\\kappa$-strand bra
id skein algebra of $C$ to the $\\kappa$-strand matrix-valued braid skein
algebra of $\\Sigma$ via higher-dimensional Heegaard Floer homology (HDHF)
. Finally we explore the adiabatic limit of this homomorphism\, which yie
lds a hybrid count of HDHF-type holomorphic curves coupled with certain Mo
rse gradient graphs\, called folded Morse trees. This is joint work with
Tianyu Yuan and Yin Tian.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/176/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH Aachen)
DTSTART:20260220T141500Z
DTEND:20260220T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/177
DESCRIPTION:Title: Knot types of periodic Reeb orbits and their role in 4-dimen
sional symplectic topology\nby Umberto Hryniewicz (RWTH Aachen) as par
t of Symplectic zoominar\n\n\nAbstract\nThis talk\, which is based on two
joint works\, one with Pedro Salomão and Richard Siefring and another wit
h Michael Hutchings and Vinicius Ramos\, revolves around the role that res
trictions on the knot types of periodic Reeb orbits imposed by the assumpt
ion of dynamical convexity plays in 4-dimensional symplectic topology. For
instance\, for dynamically convex star-shaped domains in a 4-dimensional
symplectic vector space\, the minimal action among periodic Reeb orbits in
the boundary which are unknotted and have self-linking number -1\, called
Hopf orbits\, satisfies the axioms of a normalized symplectic capacity. T
his shows that this number is not larger than the cylindrical capacity. A
result of Edtmair establishes the other inequality\, and these two results
combined yield that the minimal action of a Hopf orbit is equal to the cy
lindrical capacity of such a domain. We will discuss why is this equal to
the first ECH capacity\, which then explains the latter capacity in simple
and purely symplectic geometric terms\, with no need of Seiberg-Witten th
eory. We will also discuss why several transverse knot types in the standa
rd contact 3-sphere cannot be realized as periodic Reeb orbits of a dynami
cally convex contact form.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/177/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonghyeon Ahn (IBS-CGP)
DTSTART:20260306T141500Z
DTEND:20260306T154500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/178
DESCRIPTION:Title: Barcode entropy and relative symplectic cohomology\nby J
onghyeon Ahn (IBS-CGP) as part of Symplectic zoominar\n\n\nAbstract\nIn th
is talk\, I will discuss the barcode entropy—the exponential growth rate
of the number of not-too-short bars—of the persistence module associate
d with the relative symplectic cohomology $SH_M(K)$ of a Liouville domain
$K$ embedded in a symplectic manifold $M$. The main result establishes a q
uantitative link between this Floer-theoretic invariant and the dynamics o
f the Reeb flow on $\\partial K$. More precisely\, I will explain that the
barcode entropy of the relative symplectic cohomology $SH_M(K)$ is bounde
d above by a constant multiple of the topological entropy of the Reeb flow
on the boundary of the domain\, where the constant depends on the embeddi
ng of $K$ into $M$.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/178/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emmanuel Opshtein (Strasbourg)
DTSTART:20260320T131500Z
DTEND:20260320T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/179
DESCRIPTION:Title: Legendrian barriers\nby Emmanuel Opshtein (Strasbourg) a
s part of Symplectic zoominar\n\n\nAbstract\nIn a previous work with Felix
Schlenk\, we showed that an analogue of the phenomenon of Lagrangian barr
iers holds in the contact framework in \\(S^3\\) : there exist (explicit)
Legendrian complexes of arcs in \\(S^3\\) that have short Reeb chords to m
any Legendrian loops. \n
\n The aim of this talk is to explain t
hat this phenomenon holds more generally in any prequantization bundle (of
arbitrary dimension).\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/179/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcelo Alves (Augsburg)
DTSTART:20260417T131500Z
DTEND:20260417T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/180
DESCRIPTION:Title: Polytopes and \\(C^0\\)-Riemannian metrics with positive top
ological entropy\nby Marcelo Alves (Augsburg) as part of Symplectic zo
ominar\n\n\nAbstract\nThe topological entropy of geodesic flows has been e
xtensively studied since the foundational works of Dinaburg and Manning. I
t measures the exponential complexity of the geodesic flow of a Riemannian
manifold\, and there are several results connecting it to the geometry an
d topology of a Riemannian manifold. In this talk I will explain how recen
t results obtained jointly with Dahinden\, Meiwes\, and Pirnapasov can be
used to give a meaningful extension of the topological entropy to \\(C^0\\
)-Riemannian metrics\; i.e. Riemannian metrics which are continuous but no
t necessarily differentiable. Similarly\, using contact geometry I will ex
plain how we can talk in a meaningful way about the topological entropy of
convex and starshaped polytopes in \\(\\mathbb{R}^4\\)\, thinking of them
as \\(C^0\\)-contact forms. This is joint work with Matthias Meiwes.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/180/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Kilgore (USC)
DTSTART:20260410T131500Z
DTEND:20260410T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/181
DESCRIPTION:Title: Equivariant contact Floer cohomology for quotient spaces
\nby Eric Kilgore (USC) as part of Symplectic zoominar\n\n\nAbstract\nI wi
ll discuss some recent work establishing the orderability of contact manif
olds which arise as a quotient of an aspherically fillable manifold by a f
inite group action which extends (non-freely) to the filling. This general
izes the well known case of lens spaces. The main tool is a geometrically
equivariant version of contact Floer cohomology parametrized by a higher c
ategorical refinement of the Eliashberg—Polterovich relation on the cont
act isotopy group\, which is locally constant away from the discriminant.
This is joint work with Dylan Cant and Jun Zhang.\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/181/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stéphane Guillermou (Nantes)
DTSTART:20260424T131500Z
DTEND:20260424T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/182
DESCRIPTION:by Stéphane Guillermou (Nantes) as part of Symplectic zoomina
r\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/182/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pedro Salomão (Shenzhen ICM)
DTSTART:20260508T131500Z
DTEND:20260508T144500Z
DTSTAMP:20260404T094556Z
UID:SympZoominar/183
DESCRIPTION:by Pedro Salomão (Shenzhen ICM) as part of Symplectic zoomina
r\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SympZoominar/183/
END:VEVENT
END:VCALENDAR