Dimitrios Chatzakos: Mean values and quantum variance for degenerate Eisenstein series of higher rank

Speaker
Dimitrios Chatzakos, University of Patras

Abstract
The Quantum unique ergodicity conjecture for the classical Eisenstein series attached to the modular group was proved by Luo and Sarnak, whereas a refined quantum variance formula and a strong mean value result was obtained recently by Huang. The Quantum unique ergodicity conjecture for degenerate Eisenstein series on GL(n) was proved by L. Zhang in his PhD thesis. In our recent joint work with Corentin Darreye and Ikuya Kaneko we prove a quantum variance formula for GL(n) degenerate Eisenstein series, as well as a stronger mean value result which goes beyond the Generalized Lindelöf Hypothesis.