Abstract
In his investigations on the spectral theory of Schrödinger operators with singular potentials, T. Kato introduced many fundamental tools. A lot of work has been done to transplant these tools 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.
