On subquotients of the etale cohomology of Shimura varieties

TL;DR

This paper investigates the Galois representations in the cohomology of Shimura varieties, focusing on the conditions suggested by Arthur and Kottwitz conjectures, to understand their implications.

Contribution

It provides a detailed analysis of the conditions imposed by Arthur and Kottwitz conjectures on the Galois representations in Shimura variety cohomology.

Findings

Identifies specific conditions on Galois representations

Clarifies implications of Arthur and Kottwitz conjectures

Advances understanding of Shimura variety cohomology

Abstract

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