Cohomology of Drinfeld Modular Varieties aims to provide an introduction to both the subject of the title and the Langlands correspondence for function fields. These varieties are the analogs for function fields of Shimura varieties over number fields. This present volume is devoted to the geometry
Cohomology of Drinfeld modular varieties. Part II. Automorphic forms, trace formulas and Langlands correspondence
β Scribed by GΓ©rard Laumon; Jean-Loup Waldspurger (appendix)
- Publisher
- CUP
- Year
- 1997
- Tongue
- English
- Leaves
- 378
- Series
- Cambridge Studies in Advanced Mathematics 56
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Contents
Preface
9 Trace of f_A 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: conjectures
Appendices
D2. Representations of unimodular, locally compact, totally discontinuous, separated, topological groups: addendum
E. Reduction theory and strong approximation
F. Proof of lemma (10.6.4)
G. The decomposition of (L_G)^2 following the cuspidal data
References
Some residue computations by J.-L. Waldspurger
Index
π SIMILAR VOLUMES
Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. It is based on courses given by the author who, to keep the presentation as accessible as possible, considers the simpler case of function
<div>Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adicΒ families, and other recent techniques from harmonic analysis and representation theory.Β </div><div><br></div><div>Each peer-reviewed submiss
<p>Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. <br>Each peer-reviewed submission in this volume, base
Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the authorβs original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and