Equidistribution for Hecke Eigenforms

IAS/PRINCETON NUMBER THEORY SEMINAR
Topic:Equidistribution for Hecke Eigenforms
Speaker:Wenzhi Luo
Affiliation:Ohio State
Date:Monday, April 18
Time/Room:4:30pm - 5:30pm/Fine Hall 322

In this talk, I'd like to describe my recent work with P.Sarnak concerning the equidistribution properties for Hecke igenforms 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.