Washington State
University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Meet on Zoom
https://wsu.zoom.us/j/95294405915?pwd=MmhnVFBvOW5DSkdMYWJqbWhQM1NXQT09
Meeting ID: 952 9440 5915
Password: M410
November 7, Monday, 4:10 - 5:00 PM
Bingrong Huang
Data Science Institute
Shandong University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Meet on Zoom
https://wsu.zoom.us/j/95294405915?pwd=MmhnVFBvOW5DSkdMYWJqbWhQM1NXQT09
Meeting ID: 952 9440 5915
Password: M410
November 7, Monday, 4:10 - 5:00 PM
Bingrong Huang
Data Science Institute
Shandong University
Title: Arithmetic Quantum Chaos and L-functions
Abstract: In this talk, I will introduce some aspects of the theory of arithmetic quantum chaos, focusing on the quantum unique ergodicity theorem for automorphic forms. Then I will give some results on effective decorrelation of Hecke eigenforms and the cubic moment of Hecke-Maass cusp forms. The proofs are based on the analytic theory of L-functions.
Abstract: In this talk, I will introduce some aspects of the theory of arithmetic quantum chaos, focusing on the quantum unique ergodicity theorem for automorphic forms. Then I will give some results on effective decorrelation of Hecke eigenforms and the cubic moment of Hecke-Maass cusp forms. The proofs are based on the analytic theory of L-functions.