Center for Mathematical Sciences Lectures Mallat Family Fund for Research in Mathematics invites you to a SPECIAL LECTURE SERIES to be presented by Prof. Michel Ledoux, University of Toulouse Monday March 12, 15:30, 232 Amado , Logarithmic Sobolev inequalities (Colloquium talk) Wednesday March 14, 15:30, 232 Amado, Analysis and geometry of Markov diffusion operators part 1 Thursday March 15, 15:30, 232 Amado, Analysis and geometry of Markov diffusion operators part 2 For more details see: <http://www.math.technion.ac.il/cms/decade_2011-2020/year_2011-2012/Ledoux/> ABSTRACTS ARE ALSO HERE: Lecture #1: Monday, March 12th, 2012 at 15:30 Logarithmic Sobolev inequalities Logarithmic Sobolev inequalities, first introduced in information theory and mathematical physics, are kinds of dimension free Sobolev type inequalities of central importance in the analysis of systems with an infinite number of coordinates. They appear today as a reference model at the interface of analysis, probability and geometry, and played in particular an important role in the recent developments in optimal transportation and the geometry of metric measure spaces. Lecture #2: Wednesday, 14 March, 2012 at 15:30 Analysis and geometry of Markov diffusion operators part 1 In the framework of the first talk, at the interface between analysis, probability theory and geometry, these lectures will emphasize some old and new results in the analysis of diffusion Markov operators and semigroups via the so-called $\Gamma $-calculus. Functional and heat kernel inequalities, their geometric features and links with measure concentration will be parts of the developed topics. Lecture #3: Thursday, , 15 March, 2012 at 15:30 Analysis and geometry of Markov diffusion operators part 2 In the framework of the first talk, at the interface between analysis, probability theory and geometry, these lectures will emphasize some old and new results in the analysis of diffusion Markov operators and semigroups via the so-called $\Gamma $-calculus. Functional and heat kernel inequalities, their geometric features and links with measure concentration will be parts of the developed topics ========================= Eline Zehavi Center for Mathematical Sciences Department of Mathematics Technion <cms@math.technion.ac.il> T: 972-4-8294278 F: 972-4-8293388 --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Eline Zehavi <cms@math.technion.ac.il>