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Algebra and Geometry Seminar

Monday, May 16, 2022
4:00pm to 5:00pm
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Linde Hall 387
Perverse mod p sheaves on the affine Grassmannian
Robert Cass, Department of Mathematics, Caltech,

Perverse sheaves have important applications in representation theory and number theory. In this talk we will consider the case of mod p ├ętale sheaves on the affine Grassmannian over a field of characteristic p. Despite the pathological behavior of such sheaves, they encode the structure of mod p Hecke algebras. We will focus on a mod p version of the geometric Satake equivalence. Along the way we will encounter connections between Frobenius splittings and the general theory of perverse mod p ├ętale sheaves.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].