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Automorphic Forms and Applications
Peter Sarnak
Freydoon Shahidi
出版
American Mathematical Soc.
, 2007
主題
Mathematics / General
Mathematics / Algebra / General
Mathematics / Calculus
Mathematics / Number Theory
Mathematics / Topology
Science / Physics / Quantum Theory
ISBN
0821828738
9780821828731
URL
http://books.google.com.hk/books?id=9b8jDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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. 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.