On the Eisenstein functoriality in cohomology for maximal parabolic subgroups
Number Theory
2020-06-16 v1
Abstract
In his paper, 'On torsion in the cohomology of locally symmetric varieties', Peter Scholze has introduced a new, purely topological method to construct the cohomology classes on arithmetic quotients of symmetric spaces of rational reductive groups originating from the cohomology of the similar quotients of Levi subgroups of maximal parabolic subgroups. We extend this construction beyond the cases he considers, and, in the complex case, to the cohomology of local systems.
Keywords
Cite
@article{arxiv.2006.08474,
title = {On the Eisenstein functoriality in cohomology for maximal parabolic subgroups},
author = {Laurent Clozel},
journal= {arXiv preprint arXiv:2006.08474},
year = {2020}
}