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Cohomology of Drinfeld modular varieties. Part I. Geometry, counting of points and local harmonic analysis

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Author(s): Gérard Laumon
Series: Cambridge Studies in Advanced Mathematics 41
Publisher: CUP
Year: 1996

Language: English
Pages: xiv+344

Contents
Preface
1 Construction of Drinfeld modular varieties
2 Drinfeld A-modules with finite characteristic
3 The Lefschetz numbers of Hecke operators
4 The fundamental lemma
5 Very cuspidal Euler-Poincare functions
6 The Lefschetz numbers as sums of global
elliptic orbital integrals
7 Unramified principal series representations
8 Euler-Poincare functions as pseudocoefficients
of the Steinberg representation
Appendices
A. Central simple algebras
B. Dieudonne's theory : some proofs
C. Combinatorial formulas
D1 Representations of unimodular, locally compact, totally discontinuous, separated, topological groups
References
Index