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PIRSA:20060029

Modular representations and perverse sheaves on affine flag varieties

Bezrukavnikov, R. (2020). Modular representations and perverse sheaves on affine flag varieties. Perimeter Institute. https://pirsa.org/20060029

Roman Bezrukavnikov Massachusetts Institute of Technology (MIT)

Talk numberPIRSA:20060029
DOI10.48660/20060029
Collection
Talk Type Conference
Subject

Abstract

I will give an overview of a joint project with Simon Riche and Laura Rider and another one with Dima Arinkin aimed at a modular version of the equivalence between two geometric realization of the affine Hecke algebra and derived Satake equivalence respectively. As a byproduct we obtain a proof of the Finkelberg-Mirkovic conjecture and a possible approach to understanding cohomology of higher Frobenius kernels with coefficients in a G-module.