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

- Series
- Job Candidate Talk
- Time
- Thursday, January 19, 2012 - 16:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Nicola Gigli – University of Nice

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')