BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Seamus Albion (University of Queensland)
DTSTART;VALUE=DATE-TIME:20201009T010000Z
DTEND;VALUE=DATE-TIME:20201009T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/1
DESCRIPTION:Title: Wha
t is the Honey Comb Model?\nby Seamus Albion (University of Queensland
) as part of What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:GyeongHyeon Nam (University of Queensland)
DTSTART;VALUE=DATE-TIME:20201016T010000Z
DTEND;VALUE=DATE-TIME:20201016T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/2
DESCRIPTION:Title: Wha
t is the Birch and Swinnerton-Dyer Conjecture?\nby GyeongHyeon Nam (Un
iversity of Queensland) as part of What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Owen Colman (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20201023T010000Z
DTEND;VALUE=DATE-TIME:20201023T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/3
DESCRIPTION:Title: Wha
t is Hodge theory?\nby Owen Colman (University of Melbourne) as part o
f What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linyuan Liu (IAS)
DTSTART;VALUE=DATE-TIME:20201030T010000Z
DTEND;VALUE=DATE-TIME:20201030T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/4
DESCRIPTION:Title: Wha
t is mixed Hodge theory?\nby Linyuan Liu (IAS) as part of What is ...?
Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joe Baine (University of Sydney)
DTSTART;VALUE=DATE-TIME:20201113T010000Z
DTEND;VALUE=DATE-TIME:20201113T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/6
DESCRIPTION:Title: Wha
t is a Soergel bimodule?\nby Joe Baine (University of Sydney) as part
of What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cailan Li (Columbia University)
DTSTART;VALUE=DATE-TIME:20201120T030000Z
DTEND;VALUE=DATE-TIME:20201120T050000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/7
DESCRIPTION:Title: Wha
t is categorification?\nby Cailan Li (Columbia University) as part of
What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephen Lynch (University of Tübingen)
DTSTART;VALUE=DATE-TIME:20201127T050000Z
DTEND;VALUE=DATE-TIME:20201127T070000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/8
DESCRIPTION:Title: Wha
t is Thurston Geometrization?\nby Stephen Lynch (University of Tübing
en) as part of What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhaoting Wei (Texas A&M University-Commerce)
DTSTART;VALUE=DATE-TIME:20201204T010000Z
DTEND;VALUE=DATE-TIME:20201204T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/9
DESCRIPTION:Title: Wha
t is the Kobayashi-Hitchin correspondence?\nby Zhaoting Wei (Texas A&M
University-Commerce) as part of What is ...? Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/WiSe/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rohin Berichon (University of Queensland)
DTSTART;VALUE=DATE-TIME:20210305T000000Z
DTEND;VALUE=DATE-TIME:20210305T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/10
DESCRIPTION:Title: Wh
at is the exotic structure on R^4?\nby Rohin Berichon (University of Q
ueensland) as part of What is ...? Seminar\n\n\nAbstract\nA classical ques
tion in differential topology asks how many distinct differentiable struct
ures exist on a certain topological manifold. Remarkably\, there is a uniq
ue differentiable structure on Euclidean spaces of dimensions not equal to
4\, but uncountably many on Euclidean 4-space. In this presentation\, we
discuss the multiple constructions for exotic structures on 4 dimensional
Euclidean space\, and how to produce an uncountable family of these exotic
structures.\n
LOCATION:https://researchseminars.org/talk/WiSe/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Gammage (Harvard University)
DTSTART;VALUE=DATE-TIME:20210311T000000Z
DTEND;VALUE=DATE-TIME:20210311T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/11
DESCRIPTION:Title: Wh
at is Mirror Symmetry?\nby Benjamin Gammage (Harvard University) as pa
rt of What is ...? Seminar\n\n\nAbstract\nMirror symmetry predicts that a
Kähler manifold X (near a certain scaling limit) admits a dual space X^ s
o that symplectic invariants of X are equal to algebraic invariants of X^.
We will begin by reviewing the Fukaya category of Lagrangian submanifolds
of X\, focusing on the case when X is a Stein manifold\, and then describ
e the homological mirror symmetry conjecture that the Fukaya category of X
is equal to the category of coherent sheaves on X^. If time permits\, we
will explain how to prove this conjecture.\n
LOCATION:https://researchseminars.org/talk/WiSe/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Stokes (University College London)
DTSTART;VALUE=DATE-TIME:20210318T230000Z
DTEND;VALUE=DATE-TIME:20210319T010000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/12
DESCRIPTION:Title: Wh
at is an integrable difference equation?\nby Alexander Stokes (Univers
ity College London) as part of What is ...? Seminar\n\n\nAbstract\nAn inte
resting feature of the field of integrable systems in general is that ther
e is no single definition (applicable to all contexts) of what integrabili
ty is\, but “you know it when you see it”\, so much work in this area
relates to defining or describing integrability in different classes of sy
stems. \nThis is especially so in the theory of discrete integrable system
s\, and in this talk we will present some novel definitions of certain cla
sses of integrable difference equations\, emphasising how they are formula
ted in parallel with the classical differential case. \nA particularly bea
utiful feature of the discrete case is that integrability can be described
in terms of a wide range of concepts\, varying from analytic measures of
entropy to the geometry of complex algebraic surfaces associated with affi
ne Weyl groups.\nWe will see definitions of integrability for lattice equa
tions\, for second-order equations defining birational mappings of the pla
ne\, and a particularly beautiful way of defining discrete analogues of th
e Painlevé differential equations.\n
LOCATION:https://researchseminars.org/talk/WiSe/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Weekes (University of British Columbia)
DTSTART;VALUE=DATE-TIME:20210401T000000Z
DTEND;VALUE=DATE-TIME:20210401T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/13
DESCRIPTION:Title: Wh
at is a Coulomb branch?\nby Alex Weekes (University of British Columbi
a) as part of What is ...? Seminar\n\n\nAbstract\nAs hinted at in their na
me\, Coulomb branches come from physics: they are spaces which physicists
associate to certain quantum field theories. But it so happens that many s
paces of mathematical interest arise as Coulomb branches\, which are espec
ially important in representation theory and in the study of integrable sy
stems.\nAs with many constructions in quantum field theory\, a precise mat
hematical definition of Coulomb branches was difficult to achieve. Fortuna
tely for us this was accomplished in recent work of Braverman\, Finkelberg
and Nakajima (BFN)\, who provide a rigorous definition in a large family
of cases.\nIn this talk we will take a look at the BFN construction of Cou
lomb branches\, making stops along the way to see some of the interesting
spaces that arise.\n
LOCATION:https://researchseminars.org/talk/WiSe/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Romanov (University of Sydney)
DTSTART;VALUE=DATE-TIME:20210415T000000Z
DTEND;VALUE=DATE-TIME:20210415T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/14
DESCRIPTION:Title: Wh
at is a Hecke algebra?\nby Anna Romanov (University of Sydney) as part
of What is ...? Seminar\n\n\nAbstract\nIf you hang around representation
theory circles\, you have probably heard a definition of a Hecke algebra.
(For example\, if you attended Anna Puskas’s WiSe talk last June.) If yo
u hang around representation theory circles a lot\, you have probably hear
d several definitions of a Hecke algebra. If you are like me\, you may hav
e found this confusing. In this talk\, we will explore a few definitions o
f Hecke algebras. I will try to explain why they arise naturally in the re
presentation theory of groups\, and how the different definitions are rela
ted. We’ll also take a detour into Gelfand pairs\, and explain how these
fit into the story.\n
LOCATION:https://researchseminars.org/talk/WiSe/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ian Whitehead (Swarthmore College)
DTSTART;VALUE=DATE-TIME:20210422T000000Z
DTEND;VALUE=DATE-TIME:20210422T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/15
DESCRIPTION:Title: Wh
at is an Apollonian Packing?\nby Ian Whitehead (Swarthmore College) as
part of What is ...? Seminar\n\n\nAbstract\nFix four mutually tangent cir
cles in the plane. Fill in the spaces between these circles with additiona
l tangent circles. By repeating this process ad infinitum\, on smaller and
smaller scales\, we obtain an Apollonian circle packing. In this talk I w
ill sketch a proof of Descartes' theorem on circle configurations\, and in
troduce a group which acts on packings in two different ways\, with a subt
le duality between them. If time allows\, I will also talk about my own re
cent work relating packings to Kac-Moody root systems. This connection is
via a four-variable generating function for curvatures that appear in an A
pollonian packing\, which is essentially a character for a rank 4 indefini
te Kac-Moody root system. I will discuss its domain of convergence\, the T
its cone of the root system\, which inherits the rich geometry of Apolloni
an packings.\n
LOCATION:https://researchseminars.org/talk/WiSe/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastian Heller (Gottfried Wilhelm Leibniz Universität Hannover)
DTSTART;VALUE=DATE-TIME:20210429T050000Z
DTEND;VALUE=DATE-TIME:20210429T070000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/16
DESCRIPTION:Title: Wh
at is a hyperkähler manifold?\nby Sebastian Heller (Gottfried Wilhelm
Leibniz Universität Hannover) as part of What is ...? Seminar\n\n\nAbstr
act\nA hyperkähler structure is a geometric structure which occurs natura
lly in different fields such as algebraic geometry\, theoretical physics a
nd Riemannian geometry.\nFor differential geometers\, a hyperkähler manif
old is a Riemannian manifold with three anti-\ncommuting\, parallel and or
thogonal complex structures. The most prominent examples –\nCalabi-Yau m
anifolds – play an important role in string theory.\n\nAfter discussing
the definition and first properties of hyperkähler manifolds\, we will ex
plain some examples in detail. These examples are either constructed as hy
perkähler quotients by adapting the symplectic reduction method to the K
ähler forms or as the space of real holomorphic sections of the associate
d twistor spaces. If time permits\, we will end the talk by referring to c
urrent research results.\n
LOCATION:https://researchseminars.org/talk/WiSe/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emily Thompson (Monash University)
DTSTART;VALUE=DATE-TIME:20210506T010000Z
DTEND;VALUE=DATE-TIME:20210506T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/17
DESCRIPTION:Title: Wh
at is a hyperbolic knot?\nby Emily Thompson (Monash University) as par
t of What is ...? Seminar\n\n\nAbstract\nOne of the major advances in mode
rn knot theory is the result of William Thurston that classifies all knots
as one of three types: a torus knot\, a satellite knot\, or a hyperbolic
knot. When a knot is hyperbolic\, we can apply tools and results from hype
rbolic geometry to study it. But what is a hyperbolic knot?!\n\nIn the fir
st half of this talk we will discuss some general knot theory\, the upper
half space model of hyperbolic space\, and what makes a knot hyperbolic. I
n the second half we will carefully step through the decomposition of the
figure-8 knot complement into two ideal tetrahedra and use this decomposit
ion to prove that the figure-8 knot is hyperbolic.\n
LOCATION:https://researchseminars.org/talk/WiSe/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Rayan (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20210513T000000Z
DTEND;VALUE=DATE-TIME:20210513T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/18
DESCRIPTION:Title: Wh
at is a hyperpolygon?\nby Steven Rayan (University of Saskatchewan) as
part of What is ...? Seminar\n\n\nAbstract\nHyperpolygons are geometric o
bjects originating in representation theory and\, in particular\, act as a
bridge between a number of important geometric and representation-theoret
ic moduli spaces. Given this role\, hyperpolygons interact naturally with
a number of other notions that have been presented in this series\, inclu
ding Higgs bundles\, character varieties\, hyperkähler geometry\, nonabel
ian Hodge theory\, integrable systems\, mirror symmetry\, and Coulomb bran
ches\, to name a few. In the first part of the talk\, we will review the
construction of a Nakajima quiver variety\, of which hyperpolygon space i
s a particular instance. In the second half of the talk\, we will focus
on the connections that hyperpolygons have with the various other notions
from this series\, which include a number of recent\, interesting results.
\n
LOCATION:https://researchseminars.org/talk/WiSe/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pengfei Huang (Universität Heidelberg)
DTSTART;VALUE=DATE-TIME:20210521T060000Z
DTEND;VALUE=DATE-TIME:20210521T080000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/19
DESCRIPTION:Title: Wh
at is nonabelian Hodge theory?\nby Pengfei Huang (Universität Heidelb
erg) as part of What is ...? Seminar\n\n\nAbstract\nNonabelian Hodge theor
y can be thought as nonabelian analogue of (abelian) Hodge theory by repla
cing the abelian (coefficient) groups into nonabelian (coefficient) groups
. This is mainly due to the celebrated work of Donaldson\, Corlette\, Hitc
hin\, and Simpson\, which gives us a correspondence between local systems
and Higgs bundles. More precisely\, the nonabelian Hodge theory gives an e
quivalence between the category of reductive representations of the fundam
ental group\, the category of semisimple flat bundles\, and the category o
f polystable Higgs bundles with vanishing rational Chern classes\, through
pluri-harmonic metrics. Moreover\, such an equivalence of categories is f
unctorial\, and preserves tensor products\, direct sums\, and duals. In mo
duli viewpoint\, this theory indicates that\, the moduli space of irreduci
ble representations (called character variety\, or Betti moduli space)\,
as a smooth affine variety\, is complex analytic isomorphic to the moduli
space of irreducible flat bundles (called de Rham moduli space)\, which is
a smooth Stein manifold (in the sense of analytic topology)\, and is real
analytic isomorphic to the moduli space of stable Higgs bundles (called D
olbeault moduli space)\, which is a smooth quasi-projective variety. All o
f these objects can be generalized to a family of flat λ-connections para
metrized by λ ∈ C\, a notion introduced by Deligne\, further studied by
Simpson\, and Mochizuki. \n\nIn this talk\, I will begin with a quick rev
iew of (abelian) Hodge theory as the motivation of this theory. Then I wil
l introduce this theory precisely from an analytic viewpoint by introducin
g the work of Donaldson\, Corlette\, Hitchin\, Simpson\, and Mochizuki on
the existence of pluri-harmonic metrics. Then I will talk about this theor
y from the moduli viewpoint. A good reference of this theory is a survey p
aper by S. Rayan and A. Garcı́a-Raboso ( “Introduction to nonabelian H
odge theory: flat connections\, Higgs bundles\, and complex variations of
Hodge structure\, Fields Inst. Monogr. 34 (2015)\, 131-171.”)\, you can
also take the first chapter of my thesis as a reference.\n
LOCATION:https://researchseminars.org/talk/WiSe/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Weekes (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20210827T000000Z
DTEND;VALUE=DATE-TIME:20210827T020000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/20
DESCRIPTION:Title: Wh
at is the Affine Grassmanian?\nby Alex Weekes (University of Saskatche
wan) as part of What is ...? Seminar\n\n\nAbstract\nAffine Grassmannians a
re infinite-dimensional spaces which play an important role in geometric r
epresentation theory. One part of the richness of these spaces is that th
ey can defined in several seemingly distinct ways: via loop groups\, via a
moduli space of principal bundles\, via Kac-Moody groups\, or via lattice
s. In this talk we'll overview the definition of the affine Grassmannian\
, with some motivation from number theory\, and discuss a few examples whi
ch relate back to (possibly) more familiar spaces like the nilpotent cone.
Finally\, if time permits\, we'll touch on more advanced topics such as
the geometric Satake equivalence.\n
LOCATION:https://researchseminars.org/talk/WiSe/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Spong (The University of Queensland)
DTSTART;VALUE=DATE-TIME:20210910T010000Z
DTEND;VALUE=DATE-TIME:20210910T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/21
DESCRIPTION:Title: Wh
at is equivariant elliptic cohomology?\nby Matthew Spong (The Universi
ty of Queensland) as part of What is ...? Seminar\n\n\nAbstract\nElliptic
cohomology was introduced in the late 1980s following Witten's results abo
ut the index theory of families of differential operators on free loop spa
ces. In a certain sense it is an approximation to the K-theory of the free
loop space. The first equivariant version of the theory was constructed i
n 1994 by Grojnowski\, who made comments about its mysterious relationship
to the representation theory of loop groups. In this talk\, we outline a
construction of equivariant elliptic cohomology whose main ingredient is t
he loop group equivariant K-theory of the free loop space. The constructio
n is based on a recent construction of Kitchloo.\n
LOCATION:https://researchseminars.org/talk/WiSe/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Madeline Nurcombe (The University of Queensland)
DTSTART;VALUE=DATE-TIME:20211022T010000Z
DTEND;VALUE=DATE-TIME:20211022T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/22
DESCRIPTION:Title: Wh
at is Kazhdan-Lusztig Theory?\nby Madeline Nurcombe (The University of
Queensland) as part of What is ...? Seminar\n\n\nAbstract\nIn 1979\, Kazh
dan and Lusztig introduced a new basis for the Hecke algebra of a Coxeter
group\, related to the standard basis by polynomial coefficients. These po
lynomials relate diverse areas in Lie Theory\, such as Verma modules of se
misimple Lie algebras\, Schubert varieties in algebraic geometry\, and pri
mitive ideals of enveloping algebras\, leading to a new topic called Kazhd
an-Lusztig theory. In this talk\, I will focus on the Kazhdan-Lusztig basi
s in the simpler case of the Hecke algebra of the symmetric group\, giving
some necessary background information on the symmetric group\, Bruhat ord
er and Hecke algebra. I will then relate this to the more general case of
the Hecke algebra of a Coxeter group.\n
LOCATION:https://researchseminars.org/talk/WiSe/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maryam Khaqan (University of Stockholm)
DTSTART;VALUE=DATE-TIME:20211011T080000Z
DTEND;VALUE=DATE-TIME:20211011T100000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/23
DESCRIPTION:Title: Wh
at is moonshine?\nby Maryam Khaqan (University of Stockholm) as part o
f What is ...? Seminar\n\n\nAbstract\nMoonshine began as a series of numer
ical coincidences connecting finite groups to modular forms but has since
evolved into a rich theory that sheds light on the underlying algebraic st
ructures that these coincidences reflect. In this talk\, I will give a bri
ef history of moonshine\, describe some of the existing examples of the ph
enomenon in the literature\, and discuss how my work fits into the story.\
n
LOCATION:https://researchseminars.org/talk/WiSe/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Spong (The University of Queensland)
DTSTART;VALUE=DATE-TIME:20210924T010000Z
DTEND;VALUE=DATE-TIME:20210924T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/24
DESCRIPTION:Title: Wh
at is (non-equivariant) elliptic cohomology?\nby Matthew Spong (The Un
iversity of Queensland) as part of What is ...? Seminar\n\n\nAbstract\nIn
this talk we will begin with a sketch of what elliptic cohomology is reall
y about. Thus we will introduce the concept of a genus\, which is an invar
iant of manifolds which are equipped with extra structure\, and from there
we will define an elliptic genus. We then aim to briefly describe the rol
e of elliptic genera in elliptic cohomology\, and to sketch the relationsh
ip to index theory on free loop spaces. If time permits\, we will finally
describe a version of elliptic cohomology which was constructed in terms o
f the K-theory of free loop spaces by Kitchloo and Morava.\n
LOCATION:https://researchseminars.org/talk/WiSe/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Madeline Nurcombe (The University of Queensland)
DTSTART;VALUE=DATE-TIME:20211105T010000Z
DTEND;VALUE=DATE-TIME:20211105T030000Z
DTSTAMP;VALUE=DATE-TIME:20211209T081713Z
UID:WiSe/25
DESCRIPTION:Title: Wh
at is Kazhdan-Lusztig Theory? - Part II\nby Madeline Nurcombe (The Uni
versity of Queensland) as part of What is ...? Seminar\n\n\nAbstract\nThis
is Part II of the talk started on 22 October. \n\nIn 1979\, Kazhdan and L
usztig introduced a new basis for the Hecke algebra of a Coxeter group\, r
elated to the standard basis by polynomial coefficients. These polynomials
relate diverse areas in Lie Theory\, such as Verma modules of semisimple
Lie algebras\, Schubert varieties in algebraic geometry\, and primitive id
eals of enveloping algebras\, leading to a new topic called Kazhdan-Luszti
g theory. In this talk\, I will focus on the Kazhdan-Lusztig basis in the
simpler case of the Hecke algebra of the symmetric group\, giving some nec
essary background information on the symmetric group\, Bruhat order and He
cke algebra. I will then relate this to the more general case of the Hecke
algebra of a Coxeter group.\n
LOCATION:https://researchseminars.org/talk/WiSe/25/
END:VEVENT
END:VCALENDAR