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＜E-Book＞
Drinfeld Moduli Schemes and Automorphic Forms : The Theory of Elliptic Modules with Applications / by Yuval Z Flicker
(SpringerBriefs in Mathematics. ISSN:21918201)

Edition	1st ed. 2013.
Publisher	(New York, NY : Springer New York : Imprint: Springer)
Year	2013
Size	V, 150 p. 5 illus : online resource
Authors	*Flicker, Yuval Z author SpringerLink (Online service)
Subjects	LCSH:Number theory LCSH:Topological groups LCSH:Lie groups LCSH:Algebra, Homological LCSH:Algebra FREE:Number Theory FREE:Topological Groups and Lie Groups FREE:Category Theory, Homological Algebra FREE:Algebra
Notes	Elliptic Moduli -- Hecke Correspondences -- Trace Formulae -- Higher Recipropcity Laws.  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 HTTP:URL=https://doi.org/10.1007/978-1-4614-5888-3

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