Günter Harder & Anantharam Raghuram 
Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions [PDF ebook] 

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This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.
The authors study 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 by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin–Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations.
This book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.

€87.99
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Giới thiệu về tác giả

Günter Harder is professor emeritus of mathematics at the University of Bonn and former director of the Max Planck Institute for Mathematics. He is the author of the two-volume
Lectures on Algebraic Geometry.
A. Raghuram is professor and chair of mathematics at the Indian Institute of Science Education and Research, Pune.

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Ngôn ngữ Anh ● định dạng PDF ● Trang 240 ● ISBN 9780691197937 ● Kích thước tập tin 3.8 MB ● Nhà xuất bản Princeton University Press ● Thành phố Princeton ● Quốc gia US ● Được phát hành 2019 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 7028604 ● Sao chép bảo vệ Adobe DRM
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