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BEGIN:VEVENT
SUMMARY:Harrison Chen (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20230224T070000Z
DTEND;VALUE=DATE-TIME:20230224T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/1
DESCRIPTION:Title: Circle actions\, coherent Springer theory and classical Springer theory\nby Harrison Chen (Academia Sinica) as part of Algebra and Geometry Sem
inar (HKUST)\n\nLecture held in Room 5564.\n\nAbstract\nCoherent Springer
theory is related to the representation theory of p-adic groups\, and invo
lves the study of certain coherent sheaves on moduli stacks of Langlands p
arameters\, whose unipotent part is the derived loop space of the equivari
ant nilpotent cone. On the other hand\, classical Springer theory is rela
ted to the representation of finite groups of Lie type\, and involves the
study of certain constructible sheaves on the equivariant nilpotent cone i
tself. Passing between the two involves equivariant localization\, imposi
tion of circle equivariance\, and a Koszul duality. In the first part of
this talk\, we will give a gentle introduction to circle actions with many
examples. In the second part\, we will describe how this provides the me
chanism for passing between coherent and constructible sheaves.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ping Xu (Penn State University)
DTSTART;VALUE=DATE-TIME:20230303T070000Z
DTEND;VALUE=DATE-TIME:20230303T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/2
DESCRIPTION:Title: Duflo-Kontsevich type theorem for dg manifolds\nby Ping Xu (Penn Stat
e University) as part of Algebra and Geometry Seminar (HKUST)\n\nLecture h
eld in Room 4472.\n\nAbstract\nIn this talk\, we describe a Duflo-Kontsevi
ch type theorem for dg manifolds.\nThe Duflo theorem of Lie theory and the
Kontsevich theorem regarding the Hoschschild cohomology of complex manifo
lds can both be derived as special cases of this Duflo--Kontsevich type th
eorem for dg manifolds. This is joint work with Hsuan-Yi Liao and Mathieu
Stienon.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ian Le (The Australian National University)
DTSTART;VALUE=DATE-TIME:20230315T070000Z
DTEND;VALUE=DATE-TIME:20230315T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/3
DESCRIPTION:Title: Cluster structures on braid varieties\nby Ian Le (The Australian Nati
onal University) as part of Algebra and Geometry Seminar (HKUST)\n\nLectur
e held in 4621.\n\nAbstract\nMany varieties in Lie theory--partial flag va
rieties\, Schubert varieties\, moduli of local systems on surfaces--admit
cluster structures\, which give a combinatorial way of encoding quantum de
formations of these varieties. Braid varieties give a unifying framework f
or constructing these cluster structures. I will start by defining braid v
arieties and give some motivations coming from knot homology and mirror sy
mmetry. Then I will introduce the main tool\, Legendrian weaves\, which al
low us to construct clusters in a concrete and diagrammatic way. The diagr
ams will be familiar to anyone who has seen Soergel calculus. This is join
t work with Roger Casals\, Eugene Gorsky\, Mikhail Gorsky\, Linhui Shen an
d Jose Simental.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oscar Kivinen (École Polytechnique Fédérale de Lausanne)
DTSTART;VALUE=DATE-TIME:20230419T070000Z
DTEND;VALUE=DATE-TIME:20230419T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/4
DESCRIPTION:Title: Orbital L-functions and knot superpolynomials\nby Oscar Kivinen (Éco
le Polytechnique Fédérale de Lausanne) as part of Algebra and Geometry S
eminar (HKUST)\n\nLecture held in 4504.\n\nAbstract\nOrbital L-functions f
or GL(n) have appeared in a number of works related to automorphic represe
ntation theory. Their importance has recently been highlighted by Arthur.
It turns out that for function fields\, the local factors of these L-funct
ions have long been studied in algebraic geometry\, as Hilbert zeta functi
ons of curve singularities. Drawing inspiration from the Oblomkov-Rasmusse
n-Shende conjecture\, I will formulate a closely related conjecture equati
ng the local factors with what are essentially the knot superpolynomials i
ntroduced by Cherednik-Danilenko\, Dunfield-Gukov-Rasmussen\, and others.
This applies in the tamely ramified case over any non-archimedean local fi
eld\, even when there is no knot in the picture. I will then explain recen
t progress towards this conjecture.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhao Yu (Kavli IPMU)
DTSTART;VALUE=DATE-TIME:20230322T070000Z
DTEND;VALUE=DATE-TIME:20230322T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/5
DESCRIPTION:Title: Hecke Correspondences on smooth surfaces and categorical commutators\
nby Zhao Yu (Kavli IPMU) as part of Algebra and Geometry Seminar (HKUST)\n
\nLecture held in 2405.\n\nAbstract\nGiven a complex smooth surface\, Negu
t constructed an action of the quantum toroidal algebra on the Grothendiec
k group of moduli space of stable sheaves\, which generalized the construc
tion of Nakajima\, Grojnowski\, Baranovsky in cohomology. In this talk\, w
e will obtain a weak categorification of Negut's action\, by constructing
explicit natural transformations and compute the categorical commutators o
f the positive and negative part.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (Universität Wuppertal)
DTSTART;VALUE=DATE-TIME:20230405T070000Z
DTEND;VALUE=DATE-TIME:20230405T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/6
DESCRIPTION:Title: A K-theoretic Approach to Geometric Representation Theory\nby Jens Eb
erhardt (Universität Wuppertal) as part of Algebra and Geometry Seminar (
HKUST)\n\nLecture held in 5564.\n\nAbstract\nPerverse sheaves and intersec
tion cohomology are central objects in geometric representation theory. Th
is talk is about their long-lost K-theoretic cousins\, called K-motives. W
e will discuss definitions and basic properties of K-motives and explore p
otential applications to geometric representation theory. For example\, K-
motives shed a new light on Beilinson-Ginzburg-Soergel's Koszul duality
— a remarkable symmetry in the representation theory and geometry of two
Langlands dual reductive groups. We will see that this leads to a new “
universal” Koszul duality that does not involve any gradings or mixed ge
ometry which are as essential as mysterious in the classical approaches.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gufang Zhao (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20230426T070000Z
DTEND;VALUE=DATE-TIME:20230426T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/7
DESCRIPTION:Title: Quasimaps to quivers with potentials\nby Gufang Zhao (University of M
elbourne) as part of Algebra and Geometry Seminar (HKUST)\n\nLecture held
in CYTG001.\n\nAbstract\nThis talk concerns non-compact GIT quotient of a
vector space\, in the presence of an abelian group action and an equivaria
nt regular function (potential) on the quotient. We define virtual counts
of quasimaps from prestable curves to the critical locus of the potential.
The construction borrows ideas from the theory of gauged linear sigma mod
els as well as recent development in shifted symplectic geometry and Donal
dson-Thomas theory of Calabi-Yau 4-folds. Examples of virtual counts arisi
ng from quivers with potentials are discussed. This is based on work in pr
eparation\, in collaboration with Yalong Cao.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Frenkel (Yale University)
DTSTART;VALUE=DATE-TIME:20230412T070000Z
DTEND;VALUE=DATE-TIME:20230412T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/8
DESCRIPTION:Title: Representation Theory in Mathematics and Physics\nby Igor Frenkel (Ya
le University) as part of Algebra and Geometry Seminar (HKUST)\n\nLecture
held in CYTG001.\n\nAbstract\nIn this talk\, we overview some central idea
s and historical developments of representation theory and its relations t
o other areas of mathematics and physics. We'll start with a brief review
of the sources and first successes of representation theory of finite and
finite-dimensional groups and its applications. Then we will recall the re
markable generalizations of this theory to central extensions of loop grou
ps and Virasoro group and consider further relations to mathematics and ph
ysics. We will describe the programs of "geometrization" and "categorifica
tion" of the previous results in representation theory developed since 90t
h and their successes. We conclude with potential new developments in repr
esentation theory and discuss some open problems.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qingyuan Jiang (University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20230426T083000Z
DTEND;VALUE=DATE-TIME:20230426T093000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/9
DESCRIPTION:Title: Derived projectivizations and Grassmannians and their applications\nb
y Qingyuan Jiang (University of Edinburgh) as part of Algebra and Geometry
Seminar (HKUST)\n\nLecture held in CYTG001.\n\nAbstract\nWe will explore
some applications of the Derived Algebraic Geometry (DAG)\, a powerful fra
mework developed by Toen-Vezzosi\, Lurie and many others. DAG allows us to
extend Grothendieck’s theory of projectivizations and Grassmannians of
sheaves to the cases of complexes. This derived extension is very useful f
or constructing and studying moduli spaces\, especially when the spaces ar
e singular and difficult to analyze in the classical framework. We will di
scuss the constructions of derived projectivizations and Grassmannians as
well as their properties\, with a focus on their applications to Abel maps
for singular curves and Hecke correspondences for smooth surfaces. \nBase
d on papers arXiv:2202.11636 and arXiv:2212.10488 and works in preparation
.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sasha Minets (The University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20230510T030000Z
DTEND;VALUE=DATE-TIME:20230510T043000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/10
DESCRIPTION:Title: A proof of $P=W$ conjecture\nby Sasha Minets (The University of Edin
burgh) as part of Algebra and Geometry Seminar (HKUST)\n\nLecture held in
5564.\n\nAbstract\nLet $C$ be a smooth projective curve. The non-abelian H
odge theory of Simpson is a diffeomorphism between the character variety $
M_B$ of $C$ and the moduli of (semi)stable Higgs bundles $M_D$ on $C$. Sin
ce this diffeomorphism is not algebraic\, it induces an isomorphism of coh
omology rings\, but does not preserve finer information\, such as the weig
ht filtration. Based on computations in small rank\, de Cataldo-Hausel-Mig
liorini conjectured that the weight filtration on $H^*(M_B)$ gets sent to
the perverse filtration on $H^*(M_D)$\, associated to the Hitchin map. In
this talk\, I will explain a recent proof of this conjecture\, which cruci
ally uses the action of Hecke correspondences on $H^*(M_D)$. Based on join
t work with T. Hausel\, A. Mellit\, O. Schiffmann.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jethro van Ekeren (Instituto de Matemática Pura e Aplicada (IMPA)
)
DTSTART;VALUE=DATE-TIME:20230816T070000Z
DTEND;VALUE=DATE-TIME:20230816T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/11
DESCRIPTION:Title: Chiral homology\, the Zhu algebra\, and Rogers-Ramanujan\nby Jethro
van Ekeren (Instituto de Matemática Pura e Aplicada (IMPA)) as part of Al
gebra and Geometry Seminar (HKUST)\n\nLecture held in Room 5506.\n\nAbstra
ct\nGraded dimensions of rational vertex algebras are modular functions. T
he proof of this celebrated theorem by Y. Zhu centres on geometric objects
attached to elliptic curves known as conformal blocks\, and their behavio
ur in the limit as the underlying curve becomes singular. In this limit\,
roughly speaking\, conformal blocks pass to the degree zero Hochschild hom
ology of Zhu's associative algebra. On the other hand\, conformal blocks h
ave been interpreted by Beilinson and Drinfeld as the degree zero componen
t of a theory of chiral homology. It is therefore natural to wonder if the
relationship extends to higher homological degrees. We are indeed able to
extend this story to homological degree 1 for classically free vertex alg
ebras\, and in the process we discover relations with objects of number th
eory such as the Rogers-Ramanujan identity and its generalisations. This i
s joint work with R. Heluani and G. Andrews.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART;VALUE=DATE-TIME:20230811T060000Z
DTEND;VALUE=DATE-TIME:20230811T070000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/12
DESCRIPTION:Title: Motives in Geometric Representation Theory I\nby Jens Eberhardt (Uni
versity of Wuppertal) as part of Algebra and Geometry Seminar (HKUST)\n\nL
ecture held in CYTG003.\n\nAbstract\nRecent constructions in motivic homot
opy theory offer exciting new applications in geometric representation the
ory. For example\, they allow to consider mixed perverse sheaves (a graded
version of perverse sheaves) with integral coefficients or K-motives (a K
-theoretic analogue of constructible sheaves).\n\nIn this lecture series\,
we will explain how to work with motives in practice. We focus on motivic
cohomology\, the motivic six functor formalism\, Tate motives\, and weigh
t structures. We will then explain the notion of stratified mixed Tate mot
ives which\, when specialized to (affine/partial) flag varieties\, yields
a geometric perspective on Koszul duality. Lastly\, we will introduce resu
lts and conjectures relating K-motives and the geometric Langlands program
.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART;VALUE=DATE-TIME:20230814T060000Z
DTEND;VALUE=DATE-TIME:20230814T070000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/13
DESCRIPTION:Title: Motives in Geometric Representation Theory II\nby Jens Eberhardt (Un
iversity of Wuppertal) as part of Algebra and Geometry Seminar (HKUST)\n\n
Lecture held in Room 2503.\n\nAbstract\nRecent constructions in motivic ho
motopy theory offer exciting new applications in geometric representation
theory. For example\, they allow to consider mixed perverse sheaves (a gra
ded version of perverse sheaves) with integral coefficients or K-motives (
a K-theoretic analogue of constructible sheaves).\n\nIn this lecture serie
s\, we will explain how to work with motives in practice. We focus on moti
vic cohomology\, the motivic six functor formalism\, Tate motives\, and we
ight structures. We will then explain the notion of stratified mixed Tate
motives which\, when specialized to (affine/partial) flag varieties\, yiel
ds a geometric perspective on Koszul duality. Lastly\, we will introduce r
esults and conjectures relating K-motives and the geometric Langlands prog
ram.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART;VALUE=DATE-TIME:20230815T060000Z
DTEND;VALUE=DATE-TIME:20230815T070000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/14
DESCRIPTION:Title: Motives in Geometric Representation Theory III\nby Jens Eberhardt (U
niversity of Wuppertal) as part of Algebra and Geometry Seminar (HKUST)\n\
nLecture held in Room 5510.\n\nAbstract\nRecent constructions in motivic h
omotopy theory offer exciting new applications in geometric representation
theory. For example\, they allow to consider mixed perverse sheaves (a gr
aded version of perverse sheaves) with integral coefficients or K-motives
(a K-theoretic analogue of constructible sheaves).\n\nIn this lecture seri
es\, we will explain how to work with motives in practice. We focus on mot
ivic cohomology\, the motivic six functor formalism\, Tate motives\, and w
eight structures. We will then explain the notion of stratified mixed Tate
motives which\, when specialized to (affine/partial) flag varieties\, yie
lds a geometric perspective on Koszul duality. Lastly\, we will introduce
results and conjectures relating K-motives and the geometric Langlands pro
gram.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART;VALUE=DATE-TIME:20230817T060000Z
DTEND;VALUE=DATE-TIME:20230817T070000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/15
DESCRIPTION:Title: Motives in Geometric Representation Theory IV\nby Jens Eberhardt (Un
iversity of Wuppertal) as part of Algebra and Geometry Seminar (HKUST)\n\n
Lecture held in Room 5510.\n\nAbstract\nRecent constructions in motivic ho
motopy theory offer exciting new applications in geometric representation
theory. For example\, they allow to consider mixed perverse sheaves (a gra
ded version of perverse sheaves) with integral coefficients or K-motives (
a K-theoretic analogue of constructible sheaves).\n\nIn this lecture serie
s\, we will explain how to work with motives in practice. We focus on moti
vic cohomology\, the motivic six functor formalism\, Tate motives\, and we
ight structures. We will then explain the notion of stratified mixed Tate
motives which\, when specialized to (affine/partial) flag varieties\, yiel
ds a geometric perspective on Koszul duality. Lastly\, we will introduce r
esults and conjectures relating K-motives and the geometric Langlands prog
ram.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART;VALUE=DATE-TIME:20230818T060000Z
DTEND;VALUE=DATE-TIME:20230818T070000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/16
DESCRIPTION:Title: Motives in Geometric Representation Theory V\nby Jens Eberhardt (Uni
versity of Wuppertal) as part of Algebra and Geometry Seminar (HKUST)\n\nL
ecture held in Room 5510.\n\nAbstract\nRecent constructions in motivic hom
otopy theory offer exciting new applications in geometric representation t
heory. For example\, they allow to consider mixed perverse sheaves (a grad
ed version of perverse sheaves) with integral coefficients or K-motives (a
K-theoretic analogue of constructible sheaves).\n\nIn this lecture series
\, we will explain how to work with motives in practice. We focus on motiv
ic cohomology\, the motivic six functor formalism\, Tate motives\, and wei
ght structures. We will then explain the notion of stratified mixed Tate m
otives which\, when specialized to (affine/partial) flag varieties\, yield
s a geometric perspective on Koszul duality. Lastly\, we will introduce re
sults and conjectures relating K-motives and the geometric Langlands progr
am.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dougal Davis (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20231009T070000Z
DTEND;VALUE=DATE-TIME:20231009T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/17
DESCRIPTION:by Dougal Davis (University of Melbourne) as part of Algebra a
nd Geometry Seminar (HKUST)\n\nLecture held in Room 5560.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lucien Hennecart (The University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20231016T070000Z
DTEND;VALUE=DATE-TIME:20231016T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/18
DESCRIPTION:by Lucien Hennecart (The University of Edinburgh) as part of A
lgebra and Geometry Seminar (HKUST)\n\nLecture held in Room 5560.\nAbstrac
t: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timothy Campion (Johns Hopkins University)
DTSTART;VALUE=DATE-TIME:20230925T070000Z
DTEND;VALUE=DATE-TIME:20230925T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/19
DESCRIPTION:Title: Smooth and proper algebras via stable $(\\infty\,2)$-categories\nby
Timothy Campion (Johns Hopkins University) as part of Algebra and Geometry
Seminar (HKUST)\n\nLecture held in Room 5560.\n\nAbstract\nSince Grothend
ieck\, the notion of an abelian 1-category has provided a natural setting
to do algebra which encompasses both categories of modules and categories
of sheaves. Since Lurie\, the notion of a stable $(\\infty\,1)$-category h
as provided a similar setting to do derived algebra\, encompassing derived
categories of modules and sheaves\, and improving upon the notion of a tr
iangulated category due to Verdier.\n\nIn this talk\, we discuss a few pos
sible notions of stable $(\\infty\,2)$-category\, motivated by enriched ca
tegory theory. Examples include the $(\\infty\,2)$-category of dg categori
es\, the $(\\infty\,2)$-category of stable $(\\infty\,1)$-categories\, and
various $(\\infty\,2)$-categories of stacks of stable $(\\infty\,1)$-cate
gories. The intention is to provide a natural home for the study of such $
(\\infty\,2)$-categories\, which are of interest in areas such as the Geom
etric Langlands program\, secondary algebraic K-theory\, and derived algeb
raic geometry.\n\nWe discuss work in progress on showing that our notions
of stable $(\\infty\,2)$-category are equivalent. As an application\, we s
how for example that every smooth and proper algebra over a regular commut
ative Noetherian ring k may be constructed from $k$ by iterating two simpl
e operations: glueing along a perfect bimodule\, and 2-idempotent splittin
g.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adeel Khan (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20231025T070000Z
DTEND;VALUE=DATE-TIME:20231025T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/20
DESCRIPTION:by Adeel Khan (Academia Sinica) as part of Algebra and Geometr
y Seminar (HKUST)\n\nLecture held in Room 5566.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adeel Khan (colloquium) (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20231027T070000Z
DTEND;VALUE=DATE-TIME:20231027T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/21
DESCRIPTION:by Adeel Khan (colloquium) (Academia Sinica) as part of Algebr
a and Geometry Seminar (HKUST)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Penghui Li (Tsinghua University)
DTSTART;VALUE=DATE-TIME:20230927T070000Z
DTEND;VALUE=DATE-TIME:20230927T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/22
DESCRIPTION:Title: Graded character sheaves\, HOMFLY-PT homology\, and Hilbert schemes of p
oints on $\\mathbb{C}^2$\nby Penghui Li (Tsinghua University) as part
of Algebra and Geometry Seminar (HKUST)\n\nLecture held in Room 4475.\n\nA
bstract\nUsing a geometric argument building on our new theory of graded s
heaves\, we compute the categorical trace and Drinfel'd center of the (gra
ded) finite Hecke category $\\mathsf{H}_W$ in terms of the category of (
graded) unipotent character sheaves\, upgrading results of Ben-Zvi-Nadler
and Bezrukavninov-Finkelberg-Ostrik. In type $A$\, we relate the categori
cal trace to the category of 2-periodic coherent sheaves on the Hilbert s
chemes of points on $\\mathbb{C}^2$ (equivariant with respect to the na
tural $\\mathbb{C}^* \\times \\mathbb{C}^*$ action)\, yielding a proof o
f a conjecture of Gorsky-Negut-Rasmussen which relates HOMFLY-PT link homo
logy and the spaces of global sections of certain coherent sheaves on Hil
bert schemes. As an important computational input\, we also establish a co
njecture of Gorsky-Hogancamp-Wedrich on the formality of the Hochschild ho
mology of $\\mathsf{H}_W$. This is a joint work with Quoc P. Ho.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aron Heleodoro (Hong Kong University)
DTSTART;VALUE=DATE-TIME:20231030T070000Z
DTEND;VALUE=DATE-TIME:20231030T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/23
DESCRIPTION:by Aron Heleodoro (Hong Kong University) as part of Algebra an
d Geometry Seminar (HKUST)\n\nLecture held in Room 5560.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kostya Tolmachov (The University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20231011T070000Z
DTEND;VALUE=DATE-TIME:20231011T083000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/24
DESCRIPTION:by Kostya Tolmachov (The University of Edinburgh) as part of A
lgebra and Geometry Seminar (HKUST)\n\nLecture held in Room 5566.\nAbstrac
t: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kamil Rychlewicz (Institute of Science and Technology Austria)
DTSTART;VALUE=DATE-TIME:20231106T080000Z
DTEND;VALUE=DATE-TIME:20231106T093000Z
DTSTAMP;VALUE=DATE-TIME:20230926T001332Z
UID:HKUST-AG/25
DESCRIPTION:by Kamil Rychlewicz (Institute of Science and Technology Austr
ia) as part of Algebra and Geometry Seminar (HKUST)\n\nLecture held in Roo
m 5560.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/25/
END:VEVENT
END:VCALENDAR