“Boundary rectifiability and compactness of integral currents via BV functions”
Lunedì 14 Settembre 2026, ore 12:15 - Aula 2BC60 - Giacomo Del Nin (Max Planck Institute - Leipzig)
Abstract
We present a proof of the boundary rectifiability theorem for currents that is based on the theory of BV functions. We use a cylindrical projection argument to reduce to the case of top-dimensional currents (i.e., integer-valued BV functions), to which we can apply De Giorgi’s structure theorem. As a consequence we also present a proof of the compactness theorem for integral currents that is ultimately based on the BV theory.
