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

Series
Job Candidate Talk
Time
Thursday, January 19, 2012 - 4:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Nicola Gigli – University of Nice – http://math.unice.fr/~gigli/Site_2/Home.html
Organizer
Chongchun Zeng
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')