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)

• 9 December 2025, 2:30-3:30pm, GSSI Main Lecture Hall 

Speaker: Roberta Bianchini (CNR/IAC)

Title: Stratified steady states of the IPM equation

Abstract: After introducing the Incompressible Porous Media (IPM) equation and its stratified steady states, I will present a recent result - obtained in collaboration with Jo, Park, and Wang - on the sharp asymptotic stability of IPM near stable stratified density profiles. This result is sharp in that it resolves the gap between small-data global well-posedness and strong ill-posedness for IPM in the vicinity of stable stratified states, and it exploits the variational structure underlying the dynamics.

• 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 build on earlier preliminary work by the former author together with Frederick Almgren.