Previous Special Year Seminar

Mar
10
2021

Geometric and Modular Representation Theory Seminar

Two Geometric Realizations of the Affine Hecke Algebra I
Pablo Boixeda Alvarez
3:00pm|Simonyi Hall 101 and Remote Access

In this talk we will begin the discussion of the results in Bezrukavnikov's "On Two Geometric Realizations of the Affine Hecke algebra". We will put all the previous tools described in this series of talks together to construct the equivalence of...

Mar
09
2021

SL2 Seminar

A friendly introduction to microlocal sheaves
Michael McBreen
5:00pm|Remote Access

We will study the singularities of sheaves on a manifold via the symplectic geometry of its cotangent bundle, following the work of Sato, Kashiwara, Schapira and others. We will then see how to organise this information into a sheaf of categories...

Mar
04
2021

Quantum Groups Seminar

Braid group actions and PBW type basis
Calder Morton-Ferguson
4:00pm|Remote Access

Covers chapter 8 in Jantzen's book.

Mar
03
2021

Geometric and Modular Representation Theory Seminar

On two geometric realizations of the anti-spherical module
Tsao-Hsien Chen
3:00pm|Simonyi Hall 101 and Remote Access

The anti-spherical modules over the affine Hecke algebras admit two different realizations: one realization is in terms of the space of Whittaker functions on the affine flag manifolds and the other realization, due to Kazhdan-Lusztig, is in terms...

Feb
25
2021

Quantum Groups Seminar

R-matrices
Elijah Bodish
4:00pm|Remote Access

Continuation of the talk from last time.

Feb
24
2021

Geometric and Modular Representation Theory Seminar

The affine Hecke category is a monoidal colimit
James Tao
3:00pm|Simonyi Hall 101 and Remote Access

We will discuss the following theorems concerning colimits taken in the infinity-category of monoidal DG-categories. (No familiarity with infinity-categories will be required or assumed.) The affine Hecke category is the monoidal colimit of its...

Feb
23
2021

SL2 Seminar

Billiards and Boats
Lars Thorge Jensen
3:00pm|Remote Access

In this talk we will present two perspectives on the p-Kazhdan-Lusztig basis and its combinatorics, giving a glimpse of its complexity. This talk does not provide many answers, but will hopefully raise many interesting questions and is based on...