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Tate-Semisimplicity Over Finite Fields

Introductory Workshop: Diophantine Geometry February 06, 2023 - February 10, 2023

February 08, 2023 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Ananth Shankar (University of Wisconsin-Madison)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Tate-Semisimplicity Over Finite Fields


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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Tate-Semisimplicity Over Finite Fields

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