Modul:   MAT675  PDE and Mathematical Physics

A probabilistic Weyl-law for randomly perturbed Berezin-Toeplitz operators

Talk by Izak Oltman

Date: 17.11.22  Time: 17.15 - 18.00  Room: KOL G209

I will discuss a recent result about describing the spectrum of randomly perturbed Berezin-Toeplitz operators, which generalizes a result of Martin Vogel from 2020 about quantizations of the torus. I will briefly discuss similar spectral results regarding randomly perturbed non-self-adjoint operators. Then I will explain how to construct Berezin-Toeplitz operators (which are quantizations of smooth functions on compact Kähler manifolds). Finally, I will discuss the main idea of proving a Weyl-law, which requires constructing an exotic calculus of Berezin-Toeplitz operators.