Drinfeld moduli schemes and automorphic forms : the theory of elliptic modules with applications /

Drinfeld moduli schemes and automorphic forms : the theory of elliptic modules with applications /

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Bibliographic Details
Author / Creator:	Flicker, Yuval Z. (Yuval Zvi), 1955-
Imprint:	New York : Springer, c2013.
Description:	1 online resource (149 p.)
Language:	English
Series:	SpringerBriefs in Mathematics SpringerBriefs in Mathematics.
Subject:	Forms, Modular. Curves, Algebraic. Elliptic functions. Curves, Algebraic. Elliptic functions. Forms, Modular. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/9849455

Hidden Bibliographic Details
ISBN:	9781461458883 (electronic bk.) 1461458889 (electronic bk.) 9781461458876
Notes:	Includes bibliographical references and index. Description based on print version record.
Summary:	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.
Other form:	Print version: Flicker, Yuval Z. Drinfeld Moduli Schemes and Automorphic Forms : The Theory of Elliptic Modules with Applications Dordrecht : Springer, c2013 9781461458876

Table of Contents:

Part 1. Elliptic moduli
Elliptic Modules: Analytic Definition
Elliptic Modules: Algebraic Definition
Elliptic Modules: Geometric Definition
Covering Schemes / Yuval Z. Flicker
Part 2. Hecke correspondences
Deligne's Conjecture and Congruence Relations / Yuval Z. Flicker
Part 3. Trace formulae
Isogeny Classes
Counting Points
Spherical Functions / Yuval Z. Flicker
Part 4. Higher Reciprocity Laws
Purity Theorem
Existence Theorem
Representations of a Weil Group
Simple Converse Theorem.