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

Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Cambridge Studies in Advanced Mathematics

Paperback

Published: 9th December 2010
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.

Other Available Formats (Hide)

  • Hardcover View Product Published: 1st November 2008
    $396.25

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

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
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 360
Published: 9th December 2010
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 2.0
Weight (kg): 0.53