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: 

pims