Weight zero Eisenstein cohomology of Shimura varieties via Berkovich spaces

TL;DR

This paper offers a new interpretation of Eisenstein classes in the cohomology of Shimura varieties using Berkovich spaces, contributing to ongoing research in arithmetic geometry.

Contribution

It introduces an alternative approach to understanding Eisenstein classes via Berkovich spaces, expanding the toolkit for studying Shimura varieties.

Findings

Provides a new interpretation of Eisenstein classes

Utilizes Berkovich spaces for cohomological analysis

Lays groundwork for future research with collaborators

Abstract

This brief article gives an alternative interpretation, based on a theorem of Berkovich, of the Eisenstein classes in the cohomology of Shimura varieties, used in forthcoming work of the author with K. W. Lan, R. Taylor, and J. Thorne.