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# F. Baudoin : Functional Inequalities: Probability and geometry in interaction

The talk will be an introduction to the world of functional inequalities with a geometric content. I will in particular focus on the family of log-Sobolev and Sobolev inequalities and show how these inequalities are closely connected to the geometry of the ambient space. I will mainly follow the Bakry-Ledoux approach to these inequalities which is is based on the notion of intrinsic curvature of a diffusion operator and at the end of the presentation will explain how these ideas have recently been used in sub-Riemannian geometry.

**Category**: Probability**Duration**: 01:36:39**Date**: October 4, 2012 at 4:25 PM**Views**: 202-
**Tags:**seminar, Probability Seminar

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