Algebra Seminar
(Mon 3:30-4:30pm, Kap 265)

Organizer: Cris Negron

Topics include (but are not limited to):

Algebra, representation theory, algebraic and arithmetic geometry, homotopy theory, and mathematical physics.

Fall 2024

Date Location Speaker Title and abstract
Sep 9
Sep 16
Sep 23 Robert Cass (U Michigan) Integral motives on affine flag varieties

Abstract: A result of Bezrukavnikov gives two categorical incarnations of the affine Hecke algebra, and can be viewed as a geometric Langlands correspondence in the tamely ramified case. I will discuss progress toward an enhancement of this result to mixed sheaves with integral coefficients. This includes motivic versions of the geometric Satake equivalence and Gaitsgory's central functor, which categorify the center of the affine Hecke algebra. This is joint work with T. van den Hove and J. Scholbach.
Sep 30 [canceled] Vyjayanthi Chari (UC Riverside)
[Friday!] Oct 4 2:30 pm, KAP 265 Eugene Gorsky (UC Davis) Trace of the affine Hecke category

Abstract: The affine Hecke category, defined using affine Soergel bimodules, categorifies the affine Hecke algebra. I will compare the derived horizontal trace of the affine Hecke category with the elliptic Hall algebra, and with the derived category of the commuting stack. In particular, I will describe certain explicit generators for the trace category and some categorical commutation relations between these. This is a joint work with Andrei Negut.
Oct 7 no talk
Oct 14 Jacob Greenstein (UC Riverside)
Oct 21 Yu Fu (Cal Tech)
Oct 28 Alexandra Utiralova (UC Berkeley)
Nov 4 Jon Brundan (U Oregon)
[Friday!] Nov 15 David Green (Ohio State)


Spring 2025

Date Location Speaker Abstract
Feb 10
Feb 17 off
Feb 24
March 3
March 10
March 17 spring break
March 24 Nathan Geer (Utah State)
March 31
April 7
April 14
April 21
April 28

Previous semester

Mailing list: Contact me if you want to be added to the seminar mailing list.

See our friends at the Geometry seminar (M 2:00 pm) and the Combinatorics seminar (W 2:00 pm).