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MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation
Miscellaneous
Friday, 7 November 2003, at 11:30 in IMADA, U99
Alexei Venkov
University of Aarhus
Spectral theory of automorphic functions and number theory

Abstract
I will start the talk with an introduction explaining for non experts the problems in the theory.The main body of the lecture will consist of two parts.1)The Selberg trace formula for the exceptional Hecke operators in connection to the Phillips-Sarnak conjecture on instability of the spectrum of cusp forms for Hecke congruence groups based on our recent joint work with Erik Balslev.2)Theorem on the normal distribution of modular symbols,based on the recent results of Morten Risager and Yiannis Petridis.

Contact person:Uffe Haagerup.