On smooth approximation of generalized surfaces

Gianmarco Caldini - PhD Student in Mathematics

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. I will explain how closely one can approximate both integral and mod 2 currents representing a given homology class with smooth submanifolds.