Eisenstein cohomology for GLn and the special values of rankin-selberg L-functions (Record no. 561472)

000 -LEADER
fixed length control field 02024nam a2200217 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200306123324.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200304b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780691197883
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.23
Item number H218e
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Harder, Günter
245 ## - TITLE STATEMENT
Title Eisenstein cohomology for GLn and the special values of rankin-selberg L-functions
Statement of responsibility, etc Günter Harder and A. Raghuram
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Princeton
Name of publisher Princeton University Press
Year of publication 2020
300 ## - PHYSICAL DESCRIPTION
Number of Pages xi, 220p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Annals of mathematics studies ; no. 203
520 ## - SUMMARY, ETC.
Summary, etc 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.

650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Number theory
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Raghuram, A.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Full call number Accession Number Cost, replacement price Koha item type
        COMPACT STORAGE (BASEMENT) P K Kelkar Library, IIT Kanpur P K Kelkar Library, IIT Kanpur 2020-03-16 514.23 H218e GB1842 12667.00 Books

Powered by Koha