Geometria, Algebra e loro applicazioni | The $L^p$ positivity preservation on Riemannian manifolds

20 Aprile 2023 15:15 CEST Aula seminari III piano

Stefano Pigola Università degli Studi di Milano-Bicocca

The $L^p$ positivity preservation on Riemannian manifolds

Parole chiave

Schrödinger operators
Riemannian manifold

Abstract In his investigations on the spectral theory of Schrödinger operators with singular potentials, T. Kato introduced many celebrated tools and a lot of work has been done to transplant them to Riemannian manifolds. In this talk I shall mainly focus on the so called “$L^p$ Positivity Preservation” and discuss how it is (un)related to the geometry of the underlying space. The talk is based on a joint work with Daniele Valtorta and Giona Veronelli.