Previous Special Year Seminar

May
05
2021

Geometric and Modular Representation Theory Seminar

Towards a modular "2 realizations" equivalence
Simon Riche
7:00am|Remote Access

I will report on a project joint with Roman Bezrukavnikov (and partly with Laura Rider) aiming at constructing a variant for positive-characteristic coefficients of the equivalence constructed by Bezrukavnikov in "On two geometric realizations of an...

Apr
27
2021

SL2 Seminar

Invariance and monodromy of microlocal sheaves
David Nadler
4:00pm|Remote Access

I'll review results and examples of the invariance and monodromy of microlocal sheaves under mutations of their support. Then I'll suggest some problems in geometric representation theory where we would like to apply such techniques.

Apr
22
2021

Quantum Groups Seminar

Kazhdan-Lusztig category
Jin-Cheng Guu
4:00pm|Remote Access

The talk introduces the Kazhdan-Lusztig categories of representations of affine Lie algebras

Apr
20
2021

SL2 Seminar

Perverse sheaves on Grassmannians via microlocal geometry
Tom Braden
4:00pm|Remote Access

I will present a finite-dimensional quiver algebra whose representations are equivalent to the category of Schubert-constructible perverse sheaves on the Grassmannian $Gr(k,n)$. The functor inducing the equivalence is constructed by analyzing the...

Apr
14
2021

Geometric and Modular Representation Theory Seminar

Microlocal sheaves on certain affine Springer fibers
Zhiwei Yun
3:00pm|Simonyi Hall 101 and Remote Access

For homogeneous affine Springer fibers (those with $G_m$ symmetry), we realize them as Lagrangian cycles inside ambient symplectic varieties, and make sense of microlocal sheaves supported on these affine Springer fibers. We also propose a...