Keywords
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.