Job Candidate Talk: Recent advances on the structure of metric measure spaces with Ricci curvature bounded from below
Thu, 01/19/2012 - 4:00pm, Skiles 005
Nicola Gigli, University of Nice, 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')