N. Juillet - Deformation of singular spaces

Nicolas Juillet (1) , Fanny Bastien (2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 IF - Institut Fourier

Gigli and Mantegazza have observed how optimal transport and heat diffusion allow to describe the direction of the Ricci flow uniquely from the metric aspects of Riemannian manifolds. Their goal is to reformulate the Ricci flow so that it also makes sense for metric spaces. I will present investigations and results obtained with Matthias Erbar (univ. Bonn) that concerns some non-Riemannian limits of Riemannian manifolds, in particular the Heisenberg group.

Mots clés: sub-riemannian days 2017; sub-riemannian; deformation; singular spaces

Mots clés: journées sous-riemanniennes 2017; sous-riemannien; grenoble

Domaines: Mathématiques [math]

Nicolas Juillet, Fanny Bastien. N. Juillet - Deformation of singular spaces: Sub-riemannian days 2017. 2017. ⟨medihal-01721723⟩