A Panorama of Singular Sub-Laplacians and Their Spectra

Explore the fascinating world of Laplace-Beltrami operators on rank-varying sub-Riemannian structures in this 59-minute conference talk by Marcello Seri from the University of Groningen. Delve into the exotic properties of these operators, starting with their self-adjointness and how they differ from the Riemannian case. Discover large families of essentially self-adjoint operators on non-complete manifolds in the sub-Riemannian setting. Gain insights into the spectral properties of these operators, with a focus on sub-Riemannian Weyl laws. Encounter simple-to-state open questions throughout the presentation, designed to stimulate interest and encourage future discussions in this intriguing area of mathematical research.