Calculus of Variations and Geometric Measure Theory

On the smooth approximation of integral cycles

Gianmarco Caldini (University of Trento)

created by caselli on 17 Feb 2025

20 feb 2025 -- 11:30   [open in google calendar]

Palazzo della Carovana (SNS), Aula Bianchi Scienze

Abstract.

The natural question of how much smoother integral currents are with respect to their initial definition goes back to the late 1950s and to the origin of the theory with the seminal article of Federer and Fleming. In this seminar, I will explain how closely one can approximate an integral current representing a given homology class by means of a smooth submanifold. This is a joint study with Frederick Almgren, William Browder, and Camillo De Lellis.