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Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions – (AMS-203) - Princeton Scholarship Online
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Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions: (AMS-203)

Anantharam Raghuram and Günter Harder

Abstract

This book studies the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel–Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem ... More

Keywords: Eisenstein cohomology, special values, Rankin–Selberg L-Functions, GLN, locally symmetric spaces, GL(N), automorphic L-functions

Bibliographic Information

Print publication date: 2019 Print ISBN-13: 9780691197890
Published to Princeton Scholarship Online: September 2020 DOI:10.23943/princeton/9780691197890.001.0001

Authors

Affiliations are at time of print publication.

Anantharam Raghuram, author
Indian Institute of Science Education and Research

Günter Harder, author
University of Bonn