Actions for Cohomology of Drinfeld modular varieties. Part 2, Automorphic forms, trace formulas, and Langlands correspondence

Email RIS file
Bookmark
Report an Issue

Cohomology of Drinfeld modular varieties. Part 2, Automorphic forms, trace formulas, and Langlands correspondence / Gérard Laumon ; appendix by Jean Loup Waldspurger

Author
Laumon, Gérard
Published
Cambridge : Cambridge University Press, 1997.
Physical Description
1 online resource (xi, 366 pages) : digital, PDF file(s).
Access Online

Availability

I Want It
I Want It

Finding items...

Series
Summary
Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory.
Subject(s)
ISBN
9780511661969 (ebook)
9780521470612 (hardback)
9780521109901 (paperback)
Note
Title from publisher's bibliographic system (viewed on 31 May 2016).
View MARC record | catkey: 34832147