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Semisimplicity of Etale Cohomology of Some Shimura Varieties

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023

March 16, 2023 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Si Ying Lee (Max-Planck-Institut für Mathematik)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

The Langlands-Kottwitz method allows us to understand the zeta function of the Shimura variety, which in turn allows us to understand the Galois representations appearing in the etale cohomology of the Shimura variety, but only up to semisimplification. I will talk about a result that shows that a certain part of the etale cohomology of various abelian-type Shimura varieties is semisimple.

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