Recent advances on the structure of metric measure spaces with Ricci curvature bounded from below

Series: 
Job Candidate Talk
Thursday, January 19, 2012 - 16:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Nice
Organizer: 
I'll show how on metric measure spaces with Ricci curvature bounded from below in the sense of Lott-Sturm-Villani there is a well defined notion of Heat flow, and how the study of the properties of this flow leads to interesting geometric and analytic properties of the spaces themselves. A particular attention will be given to the class of spaces where the Heat flow is linear. (From a collaboration with Ambrosio and Savare')