4/18/2005

Wenzhi Luo
Ohio State University

Equidistribution for Hecke eigenforms

In this talk, I'd like to describe my recent work with P.Sarnak concerning the equidistribution properties for Hecke eigenforms on the modular surface. We evaluate asymptotically the variance for the equidistribution by means of the trace formula and analyze its subtle arithmetic structure and connections to Hecke operators and central values of triple product L-functions.