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Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence (Paperback, New)
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Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence (Paperback, New)
Series: Cambridge Studies in Advanced Mathematics
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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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
April 2009 |
First published: |
December 2008 |
Authors: |
Gerard Laumon
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Appendix by: |
Jean-Loup Waldspurger
|
Dimensions: |
229 x 152 x 22mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
380 |
Edition: |
New |
ISBN-13: |
978-0-521-10990-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-10990-6 |
Barcode: |
9780521109901 |
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