IAS/Park City Mathematics Series
Volume: 12; 2007; 427 pp; Hardcover
MSC: Primary 11; 22; 81;
Print ISBN: 978-0-8218-2873-1
Product Code: PCMS/12
List Price: $83.00
Individual Member Price: $66.40
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Automorphic Forms and ApplicationsShare this page
Edited by Peter Sarnak; Freydoon Shahidi
A co-publication of the AMS and IAS/Park City Mathematics Institute
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.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Table of Contents
Table of Contents
Automorphic Forms and Applications
Graduate students and research mathematicians interested in automorphic forms and number theory.
The authors are some of the greatest masters in their fields, and they have made a real effort to open up the subject. ... The resulting combination of insight and (relative!) readability is what makes this book valuable.
-- MAA Reviews