(last 15 years)

• Fifth European Congress of Mathematics, Amsterdam 2008  Markov operators, classical orthogonal polynomial ensembles, and random matrices 
• The state of Geometry and Functional Analysis (in honor of  Vitali Milman‘s 70th birthday, Tel Aviv 2009) Measure concentration, functional inequalities, and curvature of metric measure spaces
• Kinetic theory, optimal transport, probability, geometry: old and new (Conference in the honor of Cédric Villani, Fields medalist 2010), Paris 2011 The concentration of measure phenomenon
  
• Concentration inequalities and their applications, Luminy 2012  New challenges of measure concentration
• Colloquium at the Technion, Haifa 2012  Logarithmic Sobolev inequalities  (Historical note: “More than fifteen proofs of the logarithmic Sobolev inequality”)
• Probability and Analysis (in honor of  Stanislaw Kwapien‘s 70th birthday), Bedlevo 2012  Chaos of a Markov operator and the fourth moment condition
• Le Cam Lecture, Journées de la Société Française de Statistique, Bruxelles 2012 Concentration inequalities for eigenvalues of random matrices
• Poincaré Centennial Conference, Paris 2012  Poincaré inequalities in probability and geometric analysis 
• International Congress of Mathematicians ICM, Seoul 2014   Heat flows, geometric and functional inequalities
  
• Schramm Lecture, 38th Conference on Stochastic Processes and their Applications, Oxford 2015  Stein’s method, logarithmic Sobolev and transport inequalities
• UK Easter Probability Meeting 2016 “Random Structures Arising in Physics and Analysis”, Lancaster 2016  Concentration inequalities: basics and some new challenges
• 50th Anniversary meeting of the North British Functional Analysis Seminar, Edinburgh 2018  How does the heat equation explore geometric and functional inequalities?
• Optimal Transportation and Applications, Pisa 2018  On optimal matching of random samples
• The talk that I never gave