Calculus of Variations and Geometric Measure Theory

Cheeger N-clusters

Marco Caroccia (Dipartimento di Matematica, Politecnico di Milano)

created by delnin on 05 Jun 2018

6 jun 2018 -- 14:30   [open in google calendar]

Aula M1, Polo Fibonacci, Univ. di Pisa

Abstract.

We will give a brief overview of a long standing conjecture due to Caffarelli and Lin and that has recently been shown to be linked to the Pólya–Szegő (conjectured) inequality. The Cheeger N-clusters represent the natural framework in which the conjecture can be stated in a particular case, where it has been proven to be true.