02629oam 2200505 450 991043787870332120190911103512.01-283-94590-81-4614-5888-910.1007/978-1-4614-5888-3(OCoLC)843056443(MiFhGG)GVRL6WIX(EXLCZ)99340000000009376420121026d2013 uy 0engurun|---uuuuatxtccrDrinfeld moduli schemes and automorphic forms the theory of elliptic modules with applications /Yuval Z. Flicker1st ed. 2013.New York :Springer,2013.1 online resource (v, 154 pages)SpringerBriefs in Mathematics,2191-8198"ISSN: 2191-8198.""ISSN: 2191-8201 (electronic)."1-4614-5887-0 Includes bibliographical references and index.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.SpringerBriefs in mathematics.Elliptic functionsForms, ModularCurves, AlgebraicElliptic functions.Forms, Modular.Curves, Algebraic.516.3/52Flicker Yuval Zauthttp://id.loc.gov/vocabulary/relators/aut441516MiFhGGMiFhGGBOOK9910437878703321Drinfeld Moduli Schemes and Automorphic Forms2504208UNINA