On the Eisenstein functoriality in cohomology for maximal parabolic subgroups

DOI10.1007/S00029-022-00794-YarXiv2006.08474MaRDI QIDQ6342961

Publication date: 15 June 2020

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.

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Continuous cohomology of Lie groups (22E41) Cohomology of arithmetic groups (11F75)

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