April 20, 2023 3:15 p.m. CEST Seminar room - 3rd floor
Stefano Pigola Università degli Studi di Milano-Bicocca

The $L^p$ positivity preservation on Riemannian manifolds

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.

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