PIRSA:20060029

Modular representations and perverse sheaves on affine flag varieties

APA

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

MLA

Bezrukavnikov, Roman. Modular representations and perverse sheaves on affine flag varieties. Perimeter Institute, Jun. 24, 2020, https://pirsa.org/20060029

BibTex

          @misc{ pirsa_20060029,
            doi = {10.48660/20060029},
            url = {https://pirsa.org/20060029},
            author = {Bezrukavnikov, Roman},
            keywords = {Mathematical physics},
            language = {en},
            title = {Modular representations and perverse sheaves on affine flag varieties},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060029 see, \url{https://pirsa.org}}
          }
          

Roman Bezrukavnikov Massachusetts Institute of Technology (MIT)

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.