Università degli Studi di Padova

“On the geometry of soap films and soap bubbles”

Lunedì 28 Ottobre 2019, ore 11:00 - Aula 2AB45 - Andrea Marchese (Università di Pavia)

Abstract

I will discuss a recent result establishing that area minimizing m-dimensional currents modulo p in any codimension are regular submanifolds outside a singular set of Hausdorff dimension at most m-1, moreover the singular set is rectifiable and of locally finite Hausdorff measure for odd values of p.

Joint work with Camillo De Lellis, Jonas Hirsh, and Salvatore Stuvard.