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Algebraic Geometry Seminar, UC Davis

Laura Rider, University of Georgia

Modular Perverse Sheaves on the Affine Flag Variety

Organizer's time: 2021-04-13 11:00 America/Los_Angeles

Duration: 1 hour

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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.

Submitted by: Eugene Gorsky