Here is an outline for the sections one might cover for a semester long introduction to automorphic representation theory: It is useful to say in words what these chapters cover. Given a global field F …

Oct 20, 2014 · ss is: [email protected]. Contents Introduction The purpose of these notes is to provide an introduction to the theory of au. s program. Part I Basic notions: Algebraic geometry This …

It relates the automorphic representations at-tached to GL(2) to those attached to its twists. There is a local version of the correspondence. Note that 1 is the dis-crete series representation of GL2(R) of …

These notes are essentially a summary of Goldfeld's Automorphic Forms and L-functions for the Group GL(n; Z). where here d u is an integral over all the uij in the unipotent matrix u. is a Whittaker …

This section is devoted to a rapid review of some of the basic analysis that is necessary in representation theory and the basic theory of automorphic forms. Even though the material below …

Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathe-matics. The volumes are carefully …

Introduction tations. Given a global eld F and a reductive algebraic group G over F , then an automorphic representation of G is a (g; G(AF )). The rst part of the course is dedicated to explicating …