Stephen Lester: Mass equidistribution for Siegel modular forms

Abstract.

Holowinsky and Soundararajan proved that the L^2-mass of Hecke cusp forms equidistributes with respect to hyperbolic measure in the limit as the weight tends to infinity. In this talk I will discuss the distribution of L^2-mass of Siegel modular forms. I will then go on to describe some recent work on this problem for Saito-Kurokawa lifts, which are a particular class of Siegel modular forms. This is joint work with Jesse Jääsaari and Abhishek Saha.