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SUMMARY:Harrison Chen (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20230224T070000Z
DTEND;VALUE=DATE-TIME:20230224T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
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/
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SUMMARY:Ping Xu (Penn State University)
DTSTART;VALUE=DATE-TIME:20230303T070000Z
DTEND;VALUE=DATE-TIME:20230303T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
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/
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SUMMARY:Ian Le (The Australian National University)
DTSTART;VALUE=DATE-TIME:20230315T070000Z
DTEND;VALUE=DATE-TIME:20230315T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
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/
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SUMMARY:Oscar Kivinen (École Polytechnique Fédérale de Lausanne)
DTSTART;VALUE=DATE-TIME:20230419T070000Z
DTEND;VALUE=DATE-TIME:20230419T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
UID:HKUST-AG/4
DESCRIPTION:by Oscar Kivinen (École Polytechnique Fédérale de Lausanne)
as part of Algebra and Geometry Seminar (HKUST)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/4/
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SUMMARY:Zhao Yu (Kavli IPMU)
DTSTART;VALUE=DATE-TIME:20230322T070000Z
DTEND;VALUE=DATE-TIME:20230322T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
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/
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SUMMARY:Jens Eberhardt (Universität Wuppertal)
DTSTART;VALUE=DATE-TIME:20230405T070000Z
DTEND;VALUE=DATE-TIME:20230405T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
UID:HKUST-AG/6
DESCRIPTION:by Jens Eberhardt (Universität Wuppertal) as part of Algebra
and Geometry Seminar (HKUST)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/6/
END:VEVENT
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SUMMARY:Gufang Zhao (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20230426T070000Z
DTEND;VALUE=DATE-TIME:20230426T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
UID:HKUST-AG/7
DESCRIPTION:by Gufang Zhao (University of Melbourne) as part of Algebra an
d Geometry Seminar (HKUST)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/7/
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SUMMARY:Igor Frenkel (Yale University)
DTSTART;VALUE=DATE-TIME:20230412T070000Z
DTEND;VALUE=DATE-TIME:20230412T083000Z
DTSTAMP;VALUE=DATE-TIME:20230331T102528Z
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\n\nAbstra
ct\nIn this talk\, we overview some central ideas and historical developme
nts of representation theory and its relations to other areas of mathemati
cs and physics. We'll start with a brief review of the sources and first s
uccesses of representation theory of finite and finite-dimensional groups
and its applications. Then we will recall the remarkable generalizations o
f this theory to central extensions of loop groups and Virasoro group and
consider further relations to mathematics and physics. We will describe th
e programs of "geometrization" and "categorification" of the previous resu
lts in representation theory developed since 90th and their successes. We
conclude with potential new developments in representation theory and disc
uss some open problems.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/8/
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