MT821 Number Theory I
Fall Semester 2012
Course Description and
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
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.