A mod p geometric Satake isomorphism

We apply methods from geometric representation theory toward the mod p
Langlands program.
More specifically, we explain a mod p version of the geometric Satake
isomorphism, which gives a sheaf-theoretic description of the spherical mod
p Hecke algebra. In our setup the mod p Satake category is not controlled
by the dual group but rather a certain affine monoid scheme. Along the way
we will discuss some new results about the F-singularities of affine
Schubert varieties. Time permitting, we will explain how to geometrically
construct central elements in the Iwahori mod p Hecke algebra by adapting a
method due to Gaitsgory.

Zoom: https://harvard.zoom.us/j/96767001802

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