DG-MP-PDE Seminar: Nicola Gigli (University of Nice)
- Date: 02/01/2011
Lecturer(s):
Nicola Gigli (University of Nice)
Location:
University of British Columbia
Topic:
The Heat Flow as gradient flow
Description:
Aim of the talk is to make a survey on some recent results concerning analysis over spaces with Ricci curvature bounded from below. I will show that the heat flow in such setting can be equivalently built either as gradient flow of the natural Dirichlet energy in L^2 or as gradient flow if the relative entropy in the Wasserstein space. I will also show how such identification can lead to interesting analytic and geometric insights on the structures of the spaces themselves. From a collaboration with L.Ambrosio and G.Savare'.
Schedule:
3:30pm-4:30pm, WMAX 110
Sponsor:
