20–24 Jun 2022
Dipartimento di Matematica Università di Pisa
Europe/Rome timezone

Isoperimetric inequalities and potential theory

24 Jun 2022, 09:30
50m
Aula magna (Dipartimento di Matematica Università di Pisa)

Aula magna

Dipartimento di Matematica Università di Pisa

Largo Bruno Pontecorvo, 5, 56127 Pisa PI

Speaker

Lorenzo Mazzieri (Università di Trento)

Description

We describe through some selected examples an approach based on potential theory toward the proof of relevant geometric inequalities, holding both in classical and curved frameworks. Time permitting, we also discuss some applications of interest in general relativity, including the positive mass theorem and the Riemannian Penrose inequality, which - according to G. Gibbons - can be understood as an isoperimetric inequality for black holes.

Presentation materials