# A rectifiability result for sets of finite perimeter in Carnot groups – Sebastiano Don (Universita’ di Padova)

#### Venue

Sala Seminari (Dip. Matematica).

#### Abstract

After an introduction to the regularity problem for sets of finite perimeter in Carnot groups, we prove that the reduced boundary of a set of finite perimeter in a Carnot group can be covered by a countable union of sets satisfying a “cone property”. We show that this weak notion of rectifiability implies the intrinsic Lipschitz rectifiability in a class of Carnot groups including all the filiform groups. This is a joint work with Enrico Le Donne, Terhi Moisala and Davide Vittone

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