|Date: Wednesday, February 05, 2020
Location: 4096 East Hall (4:00 PM to 5:30 PM)
Title: Perverse mod p sheaves on the affine Grassmannian
Abstract: The geometric Satake equivalence can be viewed as both providing a canonical construction of the Langlands dual group and as a geometrization of the Satake isomorphism. In this talk we will discuss a mod p version of the geometric Satake equivalence. Along the way we will introduce perverse mod p sheaves and apply Frobenius splitting techniques to prove the irreducibility of certain perverse mod p sheaves. We will spend some extra time at the beginning of this talk discussing the geometry of the affine Grassmannian and some tools from the theory of F-singularities.
Speaker: Robert Cass