Drinfeld Moduli Schemes And Automorphic Forms The Theory Of Elliptic Modules With Applications 2013th Edition Yuval Z Flicker by Yuval Z Flicker 9781461458876, 1461458870 instant download after payment.

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author’s 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, in the global case, under a restriction at a single place. It develops Drinfeld’s theory of elliptic modules, their moduli schemes and covering schemes, the simple trace formula, the fixed point formula, as well as the congruence relations and a "simple" converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at The Ohio State University, is updated with references to research that has extended and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics.
Table of Contents
Cover
Drinfeld Moduli Schemes and Automorphic Forms - The Theory of Elliptic Modules with Applications
ISBN 9781461458876 ISBN 9781461458883
Contents
1. Introduction
Part 1. Elliptic Moduli
2. Elliptic Modules: Analytic Definition
3. Elliptic Modules: Algebraic Definition
4. Elliptic Modules: Geometric Definition
5. Covering Schemes
Part 2. Hecke Correspondences
6. Deligne's Conjecture and Congruence Relations
Part 3. Trace Formulae
7. Isogeny Classes
8. Counting Points
9. Spherical Functions
Part 4. Higher Reciprocity Laws
10. Purity Theorem
11. Existence Theorem
12. Representations of a Weil Group
13. Simple Converse Theorem
References
Index