Promotion Talk by Dean Baskin
Date: August 25, 2022
Time: 4:00PM - 5:00PM
Location: Bloc 117
Description: Title: Riemann moduli spaces are quantum ergodic
Abstract: Just as ergodicity is a way of describing the "mixing" or equidistribution under a classical flow, Quantum ergodicity describes
equidistribution under a "quantum" flow. In particular, operators are
typically described as quantum ergodic if their eigenfunctions
equidistribute in space (or in phase space). In this talk I will
describe joint work with Jesse Gell-Redman and Xiaolong Han showing
that the moduli spaces (equipped with the Weil-Petersson metric) of
Riemann surfaces with genus g and n marked points are quantum ergodic
when 3g + n is at least 4. I will assume no prior knowledge of any
term in the title.