MATH 732: Seminar in Algebra (Spring 2004)

Instructor: Dan Barbasch

Meeting Time & Room

Short course desacription: I aim to cover basic results about automorphic forms from the view point of representation theory of Lie groups.

Topics:

• Review of automorphic forms from the classical viewpoint
• Congruence subgroups and Hecke operators
• Repreesentation theory of GL(2, F) where F is a local field,
• Automorphic forms as representations of GL(2) over the adeles
• Decomposition of L2(G/\Gamma) and the Selberg trace formula

I will tailor these and further topics based on the interest and background of the audience.

Basic references:

• D. Bump, Automorphic forms and representation theory
• Gelbart, Automorphic forms on adele groups
• Knapp, Elliptic curves
• Serre, A course in arithmetic

Last modified: October 23, 2003