Semisimplicity of certain galois representations occurring in étale cohomology of unitary shimura varieties

Karam Fayad; Jan Nekovář

doi:10.1353/ajm.2019.0012

Semisimplicity of certain galois representations occurring in étale cohomology of unitary shimura varieties

Karam Fayad, Jan Nekovář

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a certain part of the middle degree ℓ-adic cohomology of an arbitrary simple unitary Shimura variety is a semisimple Galois representation.

Original language	English (US)
Pages (from-to)	503-530
Number of pages	28
Journal	American Journal of Mathematics
Volume	141
Issue number	2
DOIs	https://doi.org/10.1353/ajm.2019.0012
State	Published - Apr 2019

ASJC Scopus subject areas

General Mathematics

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abstract = "We show that a certain part of the middle degree ℓ-adic cohomology of an arbitrary simple unitary Shimura variety is a semisimple Galois representation.",

author = "Karam Fayad and Jan Nekov{\'a}{\v r}",

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Semisimplicity of certain galois representations occurring in étale cohomology of unitary shimura varieties

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