MT821 Number Theory I

Fall Semester 2012

Professor Solomon Friedberg

Course Description and Prerequisites

Description:  This course will give an introduction to Automorphic Forms and Representations and their associated L-functions. We will briefly discuss a few topics in classical modular forms, define and study automorphic forms on GL(n), and define and relate these to automorphic representations. We will construct L-functions attached to such automorphic representations and prove the analytic continuation and functional equation for such L-functions. Additional topics will include the motivation for and a description of Langlands Functoriality Conjecture, the construction and properties of Rankin-Selberg L-functions for GL(n) x GL(m), and the converse theorem for GL(n).

Prerequisites:  Graduate standing  or consent of instructor. Students are expected to have seen number fields and the p-adic numbers.  This material is covered in our first year graduate courses.    

Essential information: 

Class meets:  M,W,F from 9-9:50 a.m. in Carney 005.

My office hours are M, F 10-11 and W 2-3 in Carney 317.  I am also happy to make an appointment to see you at another time.  Please feel free to contact me by email (friedber "at" bc "dot" edu) or phone (617-552-3002) to make such an appointment. 

Course syllabus here.

Last revised: September 5, 2012.  Copyright 2012 by Dr. Solomon Friedberg.  All rights reserved.