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Modular Perverse Sheaves on the Affine Flag Variety
Algebraic Geometry and Number Theory| Speaker: | Laura Rider, University of Georgia |
| Related Webpage: | https://faculty.franklin.uga.edu/laurajoy/ |
| Location: | zoom |
| Start time: | Tue, Apr 13 2021, 11:00AM |
There are two categorical realizations of the affine Hecke algebra: constructible sheaves on the affine flag variety and coherent sheaves on the Langlands dual Steinberg variety. A fundamental problem in geometric representation theory is to relate these two categories by a category equivalence. This was achieved by Bezrukavnikov in characteristic 0 about a decade ago. In this talk, I will discuss a first step toward solving this problem in the modular case joint with R. Bezrukavnikov and S. Riche.