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Modular forms for SL(3,Z)
Probability| Speaker: | Stephen Miller, Rutgers University |
| Location: | 693 Kerr |
| Start time: | Tue, May 27 2003, 3:10PM |
Description
I'll give a survey of what's known about modular/automorphic
forms on SL(3,Z)\SL(3,R), and somewhat also for SL(n,Z)\SL(n,R). These
spaces generalize quotients of the upper half plane by SL(2,Z), and are
home to the most general types of automorphic forms in existence (at least
according to conjectures of Langlands). After explaining the basic
definitions, history, relations to classical number theory, and important
open problems, I'll delve into various topics related to eigenvalue
problems, and to the group cohomology of SL(n,Z).