The subtitles/captions on this talk are being edited. They
will be available within 2 weeks of the talk being published.
24 February 2021
Simon Riche
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.