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:
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

MARC

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300 |a 1 online resource (149 p.) 
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505 0 0 |g Part 1.  |t Elliptic moduli --  |t Elliptic Modules: Analytic Definition --  |t Elliptic Modules: Algebraic Definition --  |t Elliptic Modules: Geometric Definition --  |t Covering Schemes /  |r Yuval Z. Flicker --  |g Part 2.  |t Hecke correspondences --  |t Deligne's Conjecture and Congruence Relations /  |r Yuval Z. Flicker --  |g Part 3.  |t Trace formulae --  |t Isogeny Classes --  |t Counting Points --  |t Spherical Functions /  |r Yuval Z. Flicker --  |g Part 4.  |t Higher Reciprocity Laws --  |t Purity Theorem --  |t Existence Theorem --  |t Representations of a Weil Group --  |t Simple Converse Theorem. 
520 |a 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. 
504 |a Includes bibliographical references and index. 
588 |a Description based on print version record. 
650 0 |a Forms, Modular.  |0 http://id.loc.gov/authorities/subjects/sh85050826 
650 0 |a Curves, Algebraic.  |0 http://id.loc.gov/authorities/subjects/sh85034916 
650 0 |a Elliptic functions.  |0 http://id.loc.gov/authorities/subjects/sh85052336 
650 4 |a Algebraic fields. 
650 4 |a Curves, Elliptic. 
655 4 |a Electronic books. 
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