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Texas A&M University

Events for 08/25/2022 from all calendars

Promotion Talk by Dean Baskin

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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.