Seminari in programmazione durante l'anno accademico 2026-2027
Seminari in programmazione durante l'anno accademico 2026-2027
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14 settembre 2026 alle ore 12h15 Giacomo Del Nin
Giacomo Del Nin (Max Planck Institute - Leipzig)
Boundary rectifiability and compactness of integral currents via BV functions
14 settembre 2026 alle ore 12:15: in aula 2BC60
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.
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