LEADER 02698nam 2200541 a 450 001 9910437878703321 005 20200520144314.0 010 $a1-283-94590-8 010 $a1-4614-5888-9 024 7 $a10.1007/978-1-4614-5888-3 035 $a(OCoLC)843056443 035 $a(MiFhGG)GVRL6WIX 035 $a(CKB)3400000000093764 035 $a(MiAaPQ)EBC1082026 035 $a(EXLCZ)993400000000093764 100 $a20121026d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aDrinfeld moduli schemes and automorphic forms $ethe theory of elliptic modules with applications /$fYuval Z. Flicker 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (v, 154 pages) 225 0$aSpringerBriefs in mathematics,$x2191-8198 300 $a"ISSN: 2191-8198." 300 $a"ISSN: 2191-8201 (electronic)." 311 $a1-4614-5887-0 320 $aIncludes bibliographical references and index. 327 $apt. 1. Elliptic moduli -- pt. 2. Hecke correspondences -- pt. 3. Trace formulae -- pt. 4. Higher reciprocity laws. 330 $aDrinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author?s original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place. It develops Drinfeld?s theory of elliptic modules, their moduli schemes and covering schemes, the simple trace formula, the fixed point formula, as well as the congruence relations and a "simple" converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at The Ohio State University, is updated with references to research that has extended and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics. 410 0$aSpringerBriefs in mathematics. 606 $aDrinfeld modules 606 $aAutomorphic forms 606 $aElliptic functions 615 0$aDrinfeld modules. 615 0$aAutomorphic forms. 615 0$aElliptic functions. 676 $a516.3/52 700 $aFlicker$b Yuval Z$0441516 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437878703321 996 $aDrinfeld Moduli Schemes and Automorphic Forms$92504208 997 $aUNINA