Algebra and Geometry Seminar

Series: Algebra & Geometry Seminar Series

Tate semisimsimplicity over finite fields

Ananth Shankar, Department of Mathematics, University of Wisconsin, Madison,

Tate proved (amongst other things) that the action of Frobenius on the Tate-module of an abelian variety over a finite field is semisimple. I will discuss the analogue of this question in the context of exceptional Shimura varieties. This is joint work with Ben Bakker and Jacob Tsimerman.

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