On subquotients of the etale cohomology of Shimura varieties

2019/08/27 by Johansson, Christian, Thorne, Jack A.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1908.10429

Abstract

We study the conditions imposed by conjectures of Arthur and Kottwitz on the Galois representations occurring in the cohomology of Shimura varieties.

Related

• A remark on a conjecture of Buzzard-Gee and the cohomology of Shimura varieties
• The cohomology of certain intermediate strata of Kottwitz varieties
• Semisimplicity of étale cohomology of certain Shimura varieties
• On the generic part of the cohomology of Shimura varieties of abelian type
• On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz)