# Quantum variance for automorphic forms

Speaker: Bingrong Huang,

Date: Wed, Jul 27, 2022

Conference: Moments of L-functions Workshop

Subject:

Class: Scientific

### Abstract:

In this talk, I will discuss the quantum variances for families of automorphic forms on modular surfaces. The resulting quadratic forms are compared with the classical variance. The proofs depend on moments of central $L$-values and estimates of the shifted convolution sums/non-split sums. (Based on joint work with Stephen Lester.)