Eisenstein cohomology for GLn and the special values of rankin-selberg L-functions (Record no. 561472)
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| 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.<br/>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.<br/><br/>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.<br/><br/> |
| 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 |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| COMPACT STORAGE (BASEMENT) | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 16/03/2020 | 514.23 H218e | GB1842 | 12667.00 | Books |