Seminario MAP - From PDE's to Geometry: a new path towards the Minkowski Inequality

Data Seminario: 
14-Oct-2021
Ora Inizio: 
15:00
Ora Fine: 
16:00
Luca Benatti
Università di Trento

Title:
From PDE's to Geometry: a new path towards the Minkowski Inequality

Abstract:
The classical Minkowski inequality in Euclidean Spaces establishes a sharp lower bound for the total mean curvature of the boundary in terms of its area. This talk aims to present the extension of the problem to a relevant class of Riemannian manifolds and how an approach through PDE can solve it. We also explore its connection with other related geometric inequalities, such as the Isoperimetric Inequality or the Willmore Inequality.