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Presented By: Department of Mathematics

Algebraic Geometry Seminar

Perverse mod p sheaves on the affine Grassmannian

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(s): Robert Cass (Harvard)

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