Conférence
Notice
Langue :
Anglais
Crédits
Samuel DEBERGUE (Réalisation), Davide Vittone (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/e1mj-6d41
Citer cette ressource :
Davide Vittone. I_Fourier. (2018, 17 octobre). D. Vittone - Rectifiability issues in sub-Riemannian geometry. [Vidéo]. Canal-U. https://doi.org/10.60527/e1mj-6d41. (Consultée le 15 juin 2024)

D. Vittone - Rectifiability issues in sub-Riemannian geometry

Réalisation : 17 octobre 2018 - Mise en ligne : 20 décembre 2018
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Descriptif

In this talk we discuss two problems concerning “rectifiability” in sub-Riemannian geometry and particularly in the model setting of Carnot groups. The first problem regards the rectifiability of boundaries of sets with finite perimeter in Carnot groups, while the second one concerns Rademacher-type results (existence of a tangent plane out of a negligible set) for (intrinsic) graphs with (intrinsic) Lipschitz regularity. We will introduce both problems and discuss the state-of-the-art. Eventually, we will present some recent results about the rectifiability of sets with finite perimeter in a certain class of Carnot groups (including the simplest open case, i.e., the Engel group) and about a Rademacher theorem for intrinsic Lipschitz graphs of any dimension in Heisenberg groups.

Intervention

Sur le même thème