Deformation of singular spaces

deformation
singular spaces
Grenoble
[MATH]Mathematics [math]
sub-riemannian
sous-riemannien
sub-riemannian days 2017
journées sous-riemanniennes 2017

Appears in collection : Journée sous-riemannienne 2017

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.