The endoscopic classification of representations (Record no. 1717)

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003 - CONTROL NUMBER IDENTIFIER
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005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240927121516.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 978-0-8218-4990-3
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA179
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name James Arthur
245 ## - TITLE STATEMENT
Title The endoscopic classification of representations
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2013]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 590 p.
490 ## - SERIES STATEMENT
Series statement Colloquium Publications
Volume/sequential designation Vol. 61
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1. Parameters<br/>Chapter 2. Local transfer<br/>Chapter 3. Global stabilization<br/>Chapter 4. The standard model<br/>Chapter 5. A study of critical cases<br/>Chapter 6. The local classification<br/>Chapter 7. Local nontempered representations<br/>Chapter 8. The global classification<br/>Chapter 9. Inner forms<br/>
520 ## - SUMMARY, ETC.
Summary, etc. Within the Langlands program, endoscopy is a fundamental process for relating automorphic representations of one group with those of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups G. The representations are shown to occur in families (known as global L-packets and A-packets), which are parametrized by certain self-dual automorphic representations of an associated general linear group GL(N). The central result is a simple and explicit formula for the multiplicity in the automorphic discrete spectrum of G for any representation in a family.<br/><br/>The results of the volume have already had significant applications: to the local Langlands correspondence, the construction of unitary representations, the existence of Whittaker models, the analytic behaviour of Langlands L-functions, the spectral theory of certain locally symmetric spaces, and to new phenomena for symplectic epsilon-factors. One can expect many more. In fact, it is likely that both the results and the techniques of the volume will have applications to almost all sides of the Langlands program. --- summary provioded by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
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          ICTS Rack No 4 01/18/2018 QA179 00983 Book