GSSI Analysis & PDE Seminar

Organizers: Paolo Antonelli, Gabriele Benomio, Yuri Cacchiò, Sara Daneri, Luigi De Rosa, Francesco Paolo Maiale, Pierangelo Marcati, Stefano Modena, Jules Pitcho, Flavio Rossetti, Eris Runa 

Location & time: Gran Sasso Science Institute, weekly on Tuesdays, 2:30-3:30pm (map)

Upcoming Seminars: (see also GSSI Academic Calendar)

• 13 January 2026, 2:30-3:30pm, GSSI Main Lecture Hall 

Speaker: Gianmarco Caldini (University of Trento)

Title: On regularity theory for generalized surfaces

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 a smooth submanifold. Part of what will be discussed is derived from a joint study with William Browder and Camillo De Lellis, and builds on earlier preliminary work by the former author together with Frederick Almgren.