International Seminar on Automorphic Forms

Abhishek Saha (Queen Mary University of London)

The Quantum Unique Ergodicity (QUE) conjecture was proved in the classical case for Maass forms of full level in the eigenvalue aspect by Lindenstrauss and Soundararajan, and for holomorphic forms in the weight aspect by Holowinsky and Soundararajan. In this talk, I will discuss some joint work with Jesse Jaasaari and Steve Lester on the analogue of the QUE conjecture in the weight aspect for holomorphic Siegel cusp forms of degree 2 and full level. Assuming the Generalized Riemann Hypothesis (GRH) we establish QUE for Saito–Kurokawa lifts as the weight tends to infinity. As an application, we prove the equidistribution of zero divisors of Saito-Kurokawa lifts.

You can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).