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BEGIN:VEVENT
SUMMARY:Mohammad Abouzaid (Columbia University)
DTSTART:20220228T010000Z
DTEND:20220228T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/1
DESCRIPTION:Title: Complex cobordism and Hamiltonian fibrations\nby Moh
ammad Abouzaid (Columbia University) as part of IBS-CGP weekly zoom semina
r (Spring 2022)\n\n\nAbstract\nI will discuss joint work with McLean and S
mith\, lifting the results of Seidel\, Lalonde\, and McDuff concerning the
topology of Hamiltonian fibrations over the 2-sphere from rational cohomo
logy to complex cobordism. In addition to the use of Morava K-theory (as i
n the recent work with Blumberg on the Arnold Conjecture)\, the essential
new ingredient is the construction of global Kuranishi charts of genus 0 p
seudo-holomorphic curves\; i.e. their realisation as quotients of zero loc
i of equivariant vector bundles on manifolds\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthias Meiwes (RWTH Aachen University)
DTSTART:20220328T080000Z
DTEND:20220328T090000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/3
DESCRIPTION:Title: Hofer's geometry and entropy\nby Matthias Meiwes (RW
TH Aachen University) as part of IBS-CGP weekly zoom seminar (Spring 2022)
\n\n\nAbstract\nA central object in the study of Hamiltonian diffeomorphis
ms on a symplectic manifold is Hofer's metric\, a bi-invariant metric on t
he group of Hamiltonian diffeomorphisms. In my talk\, I will address a que
stion of Polterovich on the stability of topological entropy for Hamiltoni
an diffeomorphisms with respect to Hofer's metric. I will focus on some re
sults in dimension two. First I discuss examples for which positive entrop
y persists under large perturbations. Then I present a braid stability res
ult in the context of Hofer's geometry\, and explain what it implies for t
he question of entropy stability. This is based on joint works with Arnon
Chor\, and Marcelo R.R. Alves.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yong-Geun Oh (IBS-CGP)
DTSTART:20220307T010000Z
DTEND:20220307T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/4
DESCRIPTION:Title: Gluing theories of contact instantons and of pseudoholom
orphic curves in symplectic buildings\nby Yong-Geun Oh (IBS-CGP) as pa
rt of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nWe develop
the gluing theory of contact instantons in the context of open strings and
in the context of closed strings with vanishing charge\, for example in t
he symplectization context. This is one of the key ingredients for the stu
dy of (virtually) smooth moduli space of (bordered) contact instantons nee
ded for the construction of contact instanton Floer cohomology and more ge
nerally for the construction of Fukaya-type category of Legendrian submani
folds in contact manifold. As an application\, we also apply this gluing t
heory to that of moduli spaces of holomorphic buildings arising in Symplec
tic Field Theory (SFT)\, by canonically lifting the former to that of the
latter.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jongmyeong Kim (IBS-CGP)
DTSTART:20220404T010000Z
DTEND:20220404T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/5
DESCRIPTION:Title: On Gromov-Yomdin type theorems and a categorical interpr
etation of holomorphicity\nby Jongmyeong Kim (IBS-CGP) as part of IBS-
CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nIn topological dynami
cs\, the Gromov-Yomdin theorem states that the topological entropy of a ho
lomorphic automorphism f of a smooth projective variety is equal to the
logarithm of the spectral radius of the pullback f∗ induced on cohomol
ogy. In order to establish a categorical analogue of the Gromov-Yomdin the
orem\, one first needs to find a categorical analogue of a holomorphic aut
omorphism. In this talk\, we propose a notion that categorifies and genera
lizes that of a holomorphic automorphism and prove that the Gromov-Yomdin
type theorem holds for them. The key is to make use of stability condition
s and a conjectural description of stability conditions on Fukaya category
due to Bridgeland and Joyce. This talk is based on a joint work with Fede
rico Barbacovi.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Sivek (Imperial College London)
DTSTART:20220516T080000Z
DTEND:20220516T090000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/6
DESCRIPTION:by Steven Sivek (Imperial College London) as part of IBS-CGP w
eekly zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Shen Lin (Boston University)
DTSTART:20220314T010000Z
DTEND:20220314T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/7
DESCRIPTION:Title: Enumerative Geometry of Del Pezzo Surfaces\nby Yu-Sh
en Lin (Boston University) as part of IBS-CGP weekly zoom seminar (Spring
2022)\n\n\nAbstract\nYZ conjecture predicts the Calabi-Yau manifolds admit
special Lagrangian fibrations near the large complex structure limits. Th
e conjecture indicates that the holomorphic curves in the collapsing speci
al Lagrangian fibrations converge to tropical curves and bridge the enumer
ative geometry to tropical geometry. In this talk\, we will explain how to
count Maslov index zero and two holomorphic discs with special Lagrangian
boundary conditions in del Pezzo surfaces. In particular\, we will provid
e two ways of producing superpotential for del Pezzo surfaces. As for some
applications\, one can achieve the folklore conjecture:\n1. the equivalen
ce between certain open Gromov-Witten invariants and the log Gromov-Witten
invariants with maximal tangency in algebraic geometry for .\n2. Equivale
nce of counting special Lagrangians in mirror and counting semi-stable she
aves on . Part of the talk will be based on the joint work with S.-C. Lau\
, T.-J. Lee.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Viktor Ginzburg (UC Santa Cruz)
DTSTART:20220502T010000Z
DTEND:20220502T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/8
DESCRIPTION:by Viktor Ginzburg (UC Santa Cruz) as part of IBS-CGP weekly z
oom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Castronovo (Columbia University)
DTSTART:20220321T010000Z
DTEND:20220321T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/9
DESCRIPTION:Title: Polyhedral Liouville domains\nby Marco Castronovo (C
olumbia University) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n
\n\nAbstract\nIn the early 2000s\, Hori-Vafa proposed a Landau-Ginzburg mo
del on a complex torus for any smooth toric Fano variety\, whose potential
was later interpreted in terms of Lagrangian Floer theory of a moment fib
er by Cho-Oh. More recent work of Rietsch gives a realistic Landau-Ginzbur
g model for homogeneous varieties\, that however contains many complex tor
us charts. I will describe the first step of a program aimed at interpreti
ng each local potential in terms of Lagrangian Floer theory of a moment fi
ber in a toric Fano variety with arbitrary singularities.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erkao Bao (University of Minnesota)
DTSTART:20220425T010000Z
DTEND:20220425T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/10
DESCRIPTION:Title: Equivariant Lagrangian Floer cohomology over integers v
ia semi-global Kuranishi structures\nby Erkao Bao (University of Minne
sota) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\n
I will explain the definition of the equivariant Lagrangian Floer cohomolo
gy over integers of a pair of Lagrangian submanifolds that are fixed under
a finite symplectic group action and satisfy certain simplifying assumpti
ons that excludes bubbles. I will explain the usage of the semi-global Kur
anishi structures for the equivariant transversality issue. This is based
on a joint work with Ko Honda.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fumihiko Sanda (Nagoya University)
DTSTART:20220509T010000Z
DTEND:20220509T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/11
DESCRIPTION:by Fumihiko Sanda (Nagoya University) as part of IBS-CGP weekl
y zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheol-Hyun Cho (Seoul National University)
DTSTART:20220523T010000Z
DTEND:20220523T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/12
DESCRIPTION:by Cheol-Hyun Cho (Seoul National University) as part of IBS-C
GP weekly zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser University)
DTSTART:20220411T010000Z
DTEND:20220411T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/13
DESCRIPTION:Title: Mutations and flat families with toric fibers\nby N
athan Ilten (Simon Fraser University) as part of IBS-CGP weekly zoom semin
ar (Spring 2022)\n\n\nAbstract\nMutation is a combinatorial operation on L
aurent polynomials related to mirror symmetry and wall-crossing. In this t
alk\, I will discuss an old result of mine that connects mutation with def
ormation theory: given a mutation from a Laurent polynomial f to g \, t
here is a corresponding flat projective family over the projective line wi
th the toric varieties associated to the Newton polytopes of f and g a
ppearing as special fibers. Time permitting\, I will also discuss recent r
elated work connecting mutation to wall-crossing between Newton-Okounkov b
odies.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyunmoon Kim (Seoul National University)
DTSTART:20220418T010000Z
DTEND:20220418T020000Z
DTSTAMP:20260404T095625Z
UID:symplecticgeometry/14
DESCRIPTION:Title: Complex Lagrangian vector spaces and representations of
the Heisenberg Lie algebra\nby Hyunmoon Kim (Seoul National Universit
y) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nSmo
oth functions on a real vector space are representations of the abelian Li
e algebra of partial derivatives. In this talk\, we will pick up a classic
al perspective by Grossman and consider representations of the Heisenberg
Lie algebra as analogs of this object for suitably defined analytic functi
ons on a real symplectic vector space. A new feature is that there is a ho
mogeneous space of choices rather than a distinguished choice for the repr
esentation. We will describe this homogeneous space as the set of pairs of
transverse complex Lagrangian subspaces\, and show how each pair gives a
representation of the Heisenberg Lie algebra. We will show how different s
ubsets are associated with previously constructed families of representati
ons by Satake\, Grossman-Daubechies\, and Lion-Vergne. We will briefly dis
cuss relations with Jacobi forms and information geometry in the two dimen
sional case\, based on discussions with Gabriel Khan.\n
LOCATION:https://stable.researchseminars.org/talk/symplecticgeometry/14/
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