BEGIN:VCALENDAR
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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Chenyang Xu (MIT)
DTSTART:20200414T150000Z
DTEND:20200414T160000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/1
DESCRIPTION:Title: K-moduli of Fano varieties\nby Chenyang Xu (MIT) as part
of Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).
\n\nAbstract\nOne main theme of the algebraic K-stability theory of Fano v
arieties is to use it to construct moduli spaces of K-(semi\,polystable) F
ano varieties. Several main ingredients have been established\, based on t
he recent development of our understanding of K-stability theory and other
inputs. In this talk\, we will discuss the current status of the construc
tion.\n\nConference ID: 699 366 190\nPassword: 030418\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gregory Sankaran (University of Bath)
DTSTART:20200421T143000Z
DTEND:20200421T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/2
DESCRIPTION:Title: Blowups with log canonical singularities\nby Gregory San
karan (University of Bath) as part of Hodge Seminar\n\nLecture held in Bay
es Centre (5th floor\, room 5.10).\n\nAbstract\nWe show that the minimum w
eight of a weighted blow-up of ${\\mathbb A}^d$\nwith $\\varepsilon$-log c
anonical singularities is bounded by a constant\ndependin only on $\\varep
silon$ and $d$. This was conjectured by Birkar.\nUsing the recent classifi
cation of 4-dimensional empty simplices by\nIglesias-Vali\\~no and Santos\
, we work out an explicit bound for blowups of\n${\\mathbb A}^4$ with term
inal singularities: the smallest weight is always at\nmost 32\, and at mos
t 6 in all but finitely many cases.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Hoskins (Radboud University Nijmegen)
DTSTART:20200428T143000Z
DTEND:20200428T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/3
DESCRIPTION:Title: Motives of moduli spaces of bundles over a curve\nby Vic
toria Hoskins (Radboud University Nijmegen) as part of Hodge Seminar\n\nLe
cture held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nFollowing
Grothendieck’s vision that a motive of an algebraic variety should capt
ure many of its cohomological invariants\, Voevodsky introduced a triangul
ated category of motives which partially realises this idea. After describ
ing some properties of this category\, I will explain how to define the mo
tive of certain algebraic stacks. I will then state and sketch a proof for
a formula the motive of the moduli stack of vector bundles on a smooth pr
ojective curve\; this formula is compatible with classical computations of
invariants of this stack due to Harder\, Atiyah--Bott and Behrend--Dhillo
n. The proof involves rigidifying this stack using Quot and Flag-Quot sche
mes parametrising Hecke modifications as well as a motivic version of an a
rgument of Laumon and Heinloth on the cohomology of small maps. If there i
s time\, I will discuss how this can be used to study motives of other rel
ated moduli spaces such as the moduli space of Higgs bundles. This is join
t work with Simon Pepin Lehalleur.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierrick Bousseau (ETH Zurich)
DTSTART:20200512T143000Z
DTEND:20200512T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/4
DESCRIPTION:Title: Quasimodular forms from Betti numbers\nby Pierrick Bouss
eau (ETH Zurich) as part of Hodge Seminar\n\nLecture held in Bayes Centre
(5th floor\, room 5.10).\n\nAbstract\nThis talk will be about refined curv
e counting on local P^2\, the noncompact Calabi-Yau 3-fold total space of
the canonical line bundle of the projective plane. I will explain how to c
onstruct quasimodular forms starting from Betti numbers of moduli spaces o
f one-dimensional coherent sheaves on P^2. This gives a proof of some stri
ngy predictions about the refined topological string theory of local P^2 i
n the Nekrasov-Shatashvili limit. This work is in part joint with Honglu F
an\, Shuai Guo\, and Longting Wu.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johannes Nicaise (Imperial College London)
DTSTART:20200602T143000Z
DTEND:20200602T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/5
DESCRIPTION:Title: Stable rationality of complete intersections\nby Johanne
s Nicaise (Imperial College London) as part of Hodge Seminar\n\nLecture he
ld in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nI will explain an
ongoing project with John Christian Ottem to establish several new classe
s of stably irrational complete intersections. Our results are based on de
generation techniques and a birational version of the nearby cycles functo
r that was developed in collaboration with Evgeny Shinder.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Swarnava Mukhopadhyay (TIFR Mumbai)
DTSTART:20200604T143000Z
DTEND:20200604T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/6
DESCRIPTION:Title: Graph potentials and the moduli space of vector bundles of r
ank two on a curve\nby Swarnava Mukhopadhyay (TIFR Mumbai) as part of
Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\n\n
Abstract\nIn this talk\, we will discuss a conjectural decomposition of th
e derived category of the moduli space $M$ of stable vector bundles rank t
wo bundles and fixed determinant on a smooth algebraic curve $\\Sigma$ int
o derived categories of symmetric products of the original curve. We will
also consider natural potentials $W$ associated with a decomposition of a
surface $\\Sigma$ into pairs of pants. Using TQFT gluing axioms\, we will
show how to compute the respective periods of $W$ very fast and simultane
ously for all genera.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Dancer (Oxford)
DTSTART:20200616T143000Z
DTEND:20200616T153000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/7
DESCRIPTION:Title: Symplectic duality and implosion\nby Andrew Dancer (Oxfo
rd) as part of Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\,
room 5.10).\n\nAbstract\nWe discuss hyperkahler implosion spaces. their re
levance to group actions\, and why they should fit into the symplectic dua
lity picture. For certain groups we present candidates for the symplectic
duals of the associated implosion spaces and provide computational evidenc
e. This is joint work with Amihay Hanany and Frances Kirwan.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lucien Hennecart (University of Edinburgh)
DTSTART:20211007T120000Z
DTEND:20211007T130000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/8
DESCRIPTION:Title: The number of isoclasses of absolutely indecomposable repres
entations of the modular group is a polynomial\nby Lucien Hennecart (U
niversity of Edinburgh) as part of Hodge Seminar\n\nLecture held in Bayes
Centre (5th floor\, room 5.10).\n\nAbstract\nWe will explain how to prove
that the number of isomorphism classes of absolutely indecomposable repres
entations of the modular group over a finite field is a polynomial (with i
nteger coefficients) in the cardinality of the finite field. For this\, we
consider the stack of representations\, its inertia stack and the nilpote
nt version of the inertia stack. By standard techniques\, we reduce the qu
estion to the calculation of the number of points of the nilpotent inertia
stack. This is done using a Jordan stratification and favourable homologi
cal properties. We will sketch the ideas to prove the positivity of the c
oefficients of the counting polynomial\, which include a purity property o
f the representation stack. This is ongoing joint work with Fabian Korthau
er.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sasha Minets (University of Edinburgh)
DTSTART:20211021T120000Z
DTEND:20211021T130000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/9
DESCRIPTION:Title: KLR algebras in positive characteristic and their stratifica
tions\nby Sasha Minets (University of Edinburgh) as part of Hodge Semi
nar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\n
For a given quiver\, modules over KLR algebras are used to categorify the
corresponding quantum group. While for Dynkin quivers representation theor
y of KLR algebras is fairly well understood\, it becomes much more intrica
te for affine quivers\, especially in positive characteristic. In this tal
k\, I will explain how to obtain some structural results in this case by s
tudying analogues of KLR algebras associated to curves and surfaces. This
is based on ongoing work with Ruslan Maksimau.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Franco Rota (University of Glasgow)
DTSTART:20211027T124500Z
DTEND:20211027T134500Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/12
DESCRIPTION:by Franco Rota (University of Glasgow) as part of Hodge Semina
r\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\nAbstract: TBA\
n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dougal Davis (University of Edinburgh)
DTSTART:20211027T140000Z
DTEND:20211027T150000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/13
DESCRIPTION:Title: Mixed Hodge modules\, Lusztig-Vogan polynomials\, and unita
ry representations of real reductive groups\nby Dougal Davis (Universi
ty of Edinburgh) as part of Hodge Seminar\n\nLecture held in Bayes Centre
(5th floor\, room 5.10).\n\nAbstract\nLet (G\, K) be the symmetric pair as
sociated with a real reductive group G_R. In this talk\, I will explain jo
int work in progress with Kari Vilonen concerning K-equivariant twisted mi
xed Hodge modules on the flag variety of G\, and an application to the rep
resentation theory of G_R. The Grothendieck group of mixed Hodge modules\,
which enhances the Grothendieck group of G_R-modules\, has two bases cons
isting of standard and irreducible objects. At the level of weights\, the
change of basis matrix was computed algorithmically by Kazhdan-Lusztig and
Lusztig-Vogan in terms of Hecke algebra combinatorics. Our first main the
orem upgrades this to the full Grothendieck group by adding an extra Hodge
parameter to the Lusztig-Vogan polynomials. Our second main theorem is a
"polarised" version of the Jantzen conjecture\; following ideas of Schmid
and Vilonen\, it allows the signature multiplicity polynomial of Adams-van
Leeuwen-Trapa-Vogan to be read off from our Hodge polynomial. These two r
esults combined recover a key formula in the ALTV algorithm for identifyin
g the unitary representations of G_R.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junliang Shen (Yale University)
DTSTART:20211124T130000Z
DTEND:20211124T140000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/16
DESCRIPTION:Title: Cohomology of the moduli of Higgs bundles via positive char
acteristic\nby Junliang Shen (Yale University) as part of Hodge Semina
r\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nIn
this talk\, I will explain how techniques arising from the non-abelian Ho
dge theory in positive characteristic provide "consistency checks" of the
P=W conjecture\, where the latter concerns the cohomological aspect of the
non-abelian Hodge theory over the complex numbers. We will focus on two a
spects: (1) the Galois conjugation\, and (2) the Hodge-Tate decomposition.
Based on joint work with Mark de Cataldo\, Davesh Maulik\, and Siqing Zha
ng.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Orsola Capovilla-Searle (UC Davis)
DTSTART:20211124T150000Z
DTEND:20211124T160000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/17
DESCRIPTION:Title: Infinitely many Lagrangian Tori in Milnor fibers constructe
d via Lagrangian Fillings of Legendrian links\nby Orsola Capovilla-Sea
rle (UC Davis) as part of Hodge Seminar\n\nLecture held in Bayes Centre (5
th floor\, room 5.10).\n\nAbstract\nOne approach to studying symplectic ma
nifolds with contact boundary is to consider Lagrangian submanifolds with
Legendrian boundary\; in particular\, one can study exact Lagrangian filli
ngs of Legendrian links. There are still many open questions on the spaces
of exact Lagrangian fillings of Legendrian links in the standard contact
3-sphere\, and one can use Floer theoretic invariants to study such fillin
gs. We show that a family of oriented Legendrian links has infinitely many
distinct exact orientable Lagrangian fillings up to Hamiltonian isotopy.
Within this family\, we provide some of the first examples of a Legendrian
link that admits infinitely many planar exact Lagrangian fillings. Weinst
ein domains are examples of symplectic manifolds with contact boundary tha
t have a handle decomposition compatible with the symplectic structure of
the manifold. Weinstein handlebody diagrams are given by projections of Le
gendrian submanifolds. We provide Weinstein handlebody diagrams of the 4-d
imensional Milnor fibers of T_{p\,q\,r} singularities\, which we then use
to construct infinitely many Lagrangian tori and spheres in these spaces\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Pressland (University of Leeds)
DTSTART:20211208T134500Z
DTEND:20211208T144500Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/18
DESCRIPTION:Title: Categorification of positroids and positroid varieties\
nby Matthew Pressland (University of Leeds) as part of Hodge Seminar\n\nLe
cture held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nThe Grass
mannian and its totally positive part have a very rich combinatorial struc
ture\, studied by many people. In particular\, Postnikov has shown how the
totally positive Grassmannian is stratified by positroid varieties. Recen
t work of Galashin and Lam shows that the coordinate ring of each (open) p
ositroid stratum is a cluster algebra\, with this structure determined by
a combinatorial object called a Postnikov diagram. In this talk\, I will e
xplain how the same diagram also gives rise to representation theoretic ob
jects which can be used to (additively) categorify this cluster algebra. T
his is partly joint work with İlke Çanakçı and Alastair King.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hongdi Huang (Rice University)
DTSTART:20211208T150000Z
DTEND:20211208T160000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/19
DESCRIPTION:Title: Twisting of graded quantum groups and solutions to the quan
tum Yang-Baxter equation\nby Hongdi Huang (Rice University) as part of
Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\n\
nAbstract\nLet $H$ be a Hopf algebra over a field $k$ such that $H$ is $\\
mathbb Z$-graded as an algebra. In this talk\, we introduce the notion of
a twisting pair for $H$ and show that the Zhang twist of $H$ by such a pai
r can be realized as a 2-cocycle twist. As an application of twisting pair
s\, we discuss an algorithm to produce a family of solutions to the quantu
m Yang-Baxter equation from a given solution via the Faddeev-Reshetikhin-T
akhtajan construction.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vyjayanthi Chari (UC Riverside)
DTSTART:20211118T134500Z
DTEND:20211118T144500Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/21
DESCRIPTION:by Vyjayanthi Chari (UC Riverside) as part of Hodge Seminar\n\
nLecture held in Bayes Centre (5th floor\, room 5.10).\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sukjoo Lee (University of Edinburgh)
DTSTART:20211202T130000Z
DTEND:20211202T140000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/22
DESCRIPTION:by Sukjoo Lee (University of Edinburgh) as part of Hodge Semin
ar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).\nAbstract: TBA
\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20211216T130000Z
DTEND:20211216T140000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/23
DESCRIPTION:by TBA as part of Hodge Seminar\n\nLecture held in Bayes Centr
e (5th floor\, room 5.10).\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kostya Tolmachov (University of Edinburgh)
DTSTART:20210929T124500Z
DTEND:20210929T134500Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/24
DESCRIPTION:Title: Monodromic model for Khovanov-Rozansky homology\nby Kos
tya Tolmachov (University of Edinburgh) as part of Hodge Seminar\n\nLectur
e held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nKhovanov-Roza
nsky homology is a link invariant which\, by a result of Khovanov\, can be
computed as the Hochschild cohomology functor applied to complexes of Soe
rgel bimodules. I will describe a new geometric model for the Hochschild c
ohomology of Soergel bimodules\, living in the monodromic Hecke category.
I will also explain how it allows to identify objects representing individ
ual Hochsсhild cohomology groups as imagesof explicit character sheaves.
Based on a joint work with Roman Bezrukavnikov.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Léa Bittmann (University of Edinburgh)
DTSTART:20210929T140000Z
DTEND:20210929T150000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/25
DESCRIPTION:Title: A Schur-Weyl duality between Double Afffine Hecke Algebras
and quantum groups\nby Léa Bittmann (University of Edinburgh) as part
of Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\, room 5.10).
\n\nAbstract\nSchur-Weyl duality is often used to relate type A Lie groups
(or quantum groups) to symmetric groups (or Hecke algebras). In this talk
\, I will describe an instance of this Schur-Weyl duality\, between repres
entations of the type A quantum group at roots of unity and representation
s of the Double Affine Hecke Algebra. The construction uses ribbon calculu
s and news combinatorial objects called "doubly periodic tableaux". This i
s based on joint work with A. Chandler\, A. Mellit and C. Novarini.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shengxuan Liu (University of Warwick)
DTSTART:20211013T124500Z
DTEND:20211013T134500Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/26
DESCRIPTION:Title: Stability condition on Calabi-Yau threefold of complete int
ersection of quadratic and quartic hypersurfaces\nby Shengxuan Liu (Un
iversity of Warwick) as part of Hodge Seminar\n\nLecture held in Bayes Cen
tre (5th floor\, room 5.10).\n\nAbstract\nIn this talk\, I will first intr
oduce the background of Bridgeland stability condition. Then I will mentio
n some existence result of Bridgeland stability. Next I will prove the Bog
omolov-Gieseker type inequality of X_(2\,4)\, Calabi-Yau threefold of comp
lete intersection of quadratic and quartic hypersufaces\, by proving the C
lifford type inequality of the curve X_(2\,2\,2\,4). Then this will provid
e the existence of Bridgeland stability condition of X_(2\,4).\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wahei Hara (University of Glasgow)
DTSTART:20211013T140000Z
DTEND:20211013T150000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/27
DESCRIPTION:Title: Global generation of instanton bundles of charge 3 on del P
ezzo threefolds of degree 4\nby Wahei Hara (University of Glasgow) as
part of Hodge Seminar\n\nLecture held in Bayes Centre (5th floor\, room 5.
10).\n\nAbstract\nWe show that any del Pezzo threefold of degree 4 admits
an instanton bundle E of charge 3 such that E(1) is globally generated. Th
is question is the most important part in our classification of weak Fano
bundles on del Pezzo threefolds of degree 4. We study elliptic curves of d
egree 7 and show that any del Pezzo threefold of degree 4 contains such cu
rves that are generated by quadratic equations using the deformation theor
y\, and then we construct the desired instanton bundles by Hartshorne-Serr
e correspondence. This talk depends on a joint works with T. Fukuoka and D
. Ishikawa.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgunes (University of Edinburgh)
DTSTART:20211104T130000Z
DTEND:20211104T140000Z
DTSTAMP:20260404T131156Z
UID:Edinburgh_Geom/29
DESCRIPTION:Title: Trying to quantify Gromov's non-squeezing theorem\nby U
mut Varolgunes (University of Edinburgh) as part of Hodge Seminar\n\nLectu
re held in Bayes Centre (5th floor\, room 5.10).\n\nAbstract\nGromov's cel
ebrated result says (colloquially) that one cannot symplectically embed a
ball of radius 1.1 into a cylinder of radius 1. I will show that in 4d if
one removes from this ball a Lagrangian plane passing through the origin\,
then such an embedding becomes possible. I will also show that this gives
the smallest Minkowski dimension of a closed subset with this property. I
will end with many questions. This is based on joint work with K. Sackel\
, A. Song and J. Zhu.\n
LOCATION:https://stable.researchseminars.org/talk/Edinburgh_Geom/29/
END:VEVENT
END:VCALENDAR