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

Lecture 4. First and second variation of the area on RCD spaces

22 Jun 2022, 10:20
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

Daniele Semola (Oxford University)

Description

The first and second variation of the area are cornerstones in classical Geometric Measure Theory and they are at the heart of its connections with Ricci curvature. In this lecture I will illustrate how they can be estimated for perimeter minimizers and isoperimetric sets on RCD spaces, avoiding any regularity theory.

Presentation materials