Automorphic forms and applications / Peter Sarnak, Freydoon Shahidi, editors
Type de document : MonographieCollection : IAS/Park City mathematics series, 12Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.), [Princeton (N.J.)] : American Mathematical Society : Institute for Advanced Study, cop. 2007Description : 1 vol. (XIV-427 p.) : fig., portr. ; 26 cmISBN: 9780821828731.ISSN: 1079-5634.Bibliographie : Bibliogr. en fin de cours.Sujet MSC : 11-06, Proceedings, conferences, collections, etc. pertaining to number theory00B25, Conference proceedings and collections of papers, Proceedings of conferences of miscellaneous specific interest
11F12, Discontinuous groups and automorphic forms, Automorphic forms, one variable
11F66, Discontinuous groups and automorphic forms, Langlands L-functions; one variable Dirichlet series and functional equations
11F70, Discontinuous groups and automorphic forms, Representation-theoretic methods; automorphic representations over local and global fields
11F72, Discontinuous groups and automorphic forms, Spectral theory; trace formulasEn-ligne : sommaire
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 11-06 SAR (Browse shelf(Opens below)) | Available | 11158-01 |
Ce volume, dédié à Armand Borel, contient les cours de l'école d'été qui s'est déroulée à Park City, Utah, du 1er au 20 juillet 2002.
Bibliogr. en fin de cours
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field.
The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and L-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel.
This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. (Source : AMS)
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