Calculus of Variations and Geometric Measure Theory

Analysis on non-smooth spaces with curvature bounded below

Ivan Yuri Violo (Centro De Giorgi, SNS Pisa)

created by malchiodi on 29 Nov 2023

5 dec 2023 -- 10:00   [open in google calendar]

SNS, Aula Bianchi Lettere

Abstract.

The goal will be to give an overview of singular metric spaces with Ricci curvature bounded below and of their analytical properties. We will also see how the study of these spaces can have application in the classical smooth setting. In particular I will present some recent results on the stability of Sobolev inequalities and on nodal domains of eigenfunctions.