Title: Metric Measure Spaces with Synthetic Ricci Bounds
Speaker: Karl-Theodor Sturm
Speaker Info: University of Bonn
Brief Description:
Special Note:

The talk will provide an introduction to the theory of metric measure spaces with generalized lower Ricci bounds and a survey of the state of the art of this fast developing field. The concept of generalized Ricci bounds can either be based on optimal transportation or on so-called Γ-calculus. A key observation is the equivalence of the entropic curvature-dimension condition€˜ in the sense of Lott-Sturm-Villani and the energetic curvature-dimension condition˜ in the sense of Bakry-Emery.

The list of recent results includes Bakry-Ledoux space-time gradient estimate, Li-Yau differential Harnack inequality, distance monotonicity of coupled Brownian motions, splitting theorem, maximal diameter theorem, and structure of tangent spaces. Of particular interest are extensions of these results to a time-depending setting which provides new insights in (super) Ricci flows of metric measure spaces.

Date: Wednesday, February 11, 2015
Time: 4:00pm
Where: Lunt 105
Contact Person: Antonio Auffinger
Contact email: auffing@math.northwestern.edu
Contact Phone: 847-491-5466
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