+612 9045 4394
 
CHECKOUT
Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties : Series Number 41: Geometry, Counting of Points and Local Harmonic Analysis Part 1 - Gerard Laumon

Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Series Number 41: Geometry, Counting of Points and Local Harmonic Analysis Part 1

Paperback Published: 9th December 2010
ISBN: 9780521172745
Number Of Pages: 360

Share This Book:

Paperback

RRP $78.95
$69.75
12%
OFF
This title is not in stock at the Booktopia Warehouse and needs to be ordered from our supplier.
Click here to read more about delivery expectations.

Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide 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. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. 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.

Review of the hardback: 'This is a very impressive achievement.' H.J. Baues, Mathematika
"...these two volumes contain many results that are new and important....they are also the best source available for learning about the approacj to zeta functions via the theory of automorphic representations. They contain a wealth of information, theorems, and calculations, laid before the reader in Laumon's superb expository style....these two volumes are a welcome addition to the literature on automorphic representations and are highly recommended." Jonathan David Rogawski, Mathematical Reviews

Construction of Drinfeld modular varieties
Drinfeld A-modules
The Lefschetz numbers of Hecke operators
The fundamental lemma
Very cuspidal Euler-Poincar© functions
The Lefschetz numbers as sums of global elliptic orbital integrals
Unramified principal series representations
Euler-Poincar© functions as pseudocoefficients of the Steinberg relation
Appendices
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521172745
ISBN-10: 0521172748
Series: Cambridge Studies in Advanced Mathematics (Paperback)
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 360
Published: 9th December 2010
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.03
Weight (kg): 0.53

This product is categorised by