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Probability and Analysis Seminar: Randomly Perturbed Berezin–Toeplitz Operators

Izak Oltman (Northwestern University)
Wednesday, February 5, 2025
4:00-5:00 PM
3096 East Hall Map
In this talk, I will prove a Weyl law for the spectrum of randomly perturbed Berezin–Toeplitz operators, generalizing a result of Martin Vogel from 2020 about quantizations of torii. I will first survey some results about randomly perturbed non–self-adjoint operators, then explain the construction of Berezin–Toeplitz operators (which are quantizations of smooth functions on compact Kähler manifolds), then discuss the main idea of the proof, which requires constructing an exotic calculus of Berezin–Toeplitz operators.
Building: East Hall
Website:
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Probability and Analysis Seminar - Department of Mathematics, Department of Mathematics