Previous Special Year Seminar

Dec
15
2020

SL2 Seminar

Cohomology: qualitative and stable results
Eric M. Friedlander
3:00pm|Remote Access

We survey work over the last 50 years advancing our understandingof cohomology of groups. We begin with results of Daniel Quillen which have influenced all that follows. We mention stability results of Cline, Parshall, Scott, and van der Kallen...

Dec
09
2020

Geometric and Modular Representation Theory Seminar

Lefschetz operators, Hodge-Riemann forms, and representations
Peter Fiebig
3:00pm|Simonyi Hall 101 and Remote Access

Motivated by a formal similarity between the Hard Lefschetz theorem and the geometric Satake equivalence we study vector spaces that are graded by a weight lattice and are endowed with linear operators in simple root directions. We allow field...

Dec
02
2020

Geometric and Modular Representation Theory Seminar

Geometric Satake equivalence: a historical survey
George Lusztig
3:00pm|Simonyi Hall 101 and Remote Access

Before the "geometric Satake equivalence" there was a decategorified version of it which however contained most of its essential features. In my talk I will talk about some of the ideas which have led to this theory. In particular I will explain the...

Dec
01
2020

SL2 Seminar

The ABG Equivalence
Pablo Boixeda Alvarez
3:00pm|Remote Access

Broue's Conjecture for $SL_2(\mathbb{F}_q)$ in defining characteristic, predicts a derived equivalence between the principal block of this group and the principal block of a Borel. A structurally similar equivalence exist in the case of the...

Nov
17
2020

SL2 Seminar

No seminar: workshop
3:00pm|Remote Access
Nov
11
2020

Geometric and Modular Representation Theory Seminar

Iwahori-Whittaker category and geometric Casselman-Shalika
Tony Feng
3:00pm|Simonyi Hall 101 and Remote Access

This talk will be an exposition of a recent paper of Bezrukavnikov-Gaitsgory-Mirkovic-Riche-Rider giving an Iwahori-Whittaker model for the Satake category. The main point is that their argument works for modular coefficients. I will give some...