24 February 2021 - Simon Riche - Hecke action on the principal block of reductive algebraic groups
From Greg McCracken
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24 February 2021
Title: Hecke action on the principal block of reductive algebraic groups
Abstract: I will explain a joint work with Roman Bezrukavnikov where we show that wall crossing functors define an action of the Hecke category on the principal block of the category of representations of a reductive algebraic group. This fact had been conjectured in a joint work with G. Williamson (and previously proved in type A by other methods); it gives a very concrete incarnation of the idea that "the affine Weyl group controls the category of representations", and has as a consequence character formulas for tilting and simple modules.