Description: Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence: 56 (Cambridge Studies in Advanced Mathematics, Series Number 56)Gérard Laumon Cambridge University Press Hardcover Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9780521470612 Published 09/01/1997 Language: English 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. Preface 9. Trace of fA on the discrete spectrum 10. Non-invariant Arthur trace formula the geometric side 11. Non-invariant Arthur trace formula the spectral side 12. Cohomology with compact supports of Drinfeld modular varieties 13. Intersection cohomology of Drinfeld modular varieties Appendix D. Representations of unimodular, locally compact, totally discontinuous, separated topological groups addendum Appendix E. Reduction theory and strong approximation Appendix F. Proof of lemma 10. 6. 4 Appendix G. The decomposition of L2G following the cuspidal data. DispatchIn stock here - same-day dispatch from England. My SKU: 3281889RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
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Item Height: 229mm
Item Width: 152mm
Author: Gerard Laumon
Publication Name: Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence
Format: Hardcover
Language: English
Publisher: Cambridge University Press
Subject: Mathematics
Publication Year: 1997
Type: Textbook
Item Weight: 730g
Number of Pages: 380 Pages
