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https://www.sns.it/it/evento/alessio-... Alessio Figalli, Fields medallist 2018 International Meeting This event gathers mathematicians that had a major role in Figalli’s career, either by inspiring and guiding him during his early stage, or by collaborating with him on the projects for which the Fields Medal has been awarded. PROGRAM Palazzo della Carovana (SNS) 10.30 Institutional greetings and videos Carlo Petronio, Director of the Mathematics Department, Pisa University Piermarco Cannarsa, President of the Unione Matematica Italiana Video by Begoña Barrios Barrera, Universidad de La Laguna Video by Robin Neumayer, Institute for Advanced Studies, Princeton Video by Maria Colombo, Ecole Polytechnique Fédérale de Lausanne Luigi Ambrosio: Recollections of Alessio. 11.30 Guido De Philippis (SISSA, Trieste) My work with Alessio on Sobolev regularity of the Monge-Ampère equations 12.00 Aldo Pratelli (University of Pisa) The quantitative isoperimetric inequality via mass transportation: a work with Francesco Maggi and Alessio Lunch break Aula Magna Pontecorvo (UNIPI) 15.00 Robert Mc Cann (University of Toronto) Displacement convexity of Boltzmann’s entropy characterizes positive energy in General Relativity 16.00 Coffee break 16.30 Francesco Maggi (University of Texas at Austin) Soap films, soap bubbles, and almost critical points in geometric variational problems Speakers Giovanni Alberti, Università di Pisa Luis Caffarelli, University of Texas at Austin José Antonio Carrillo de la Plata, Imperial College London Antonio Corbo Esposito, Università degli Studi di Cassino Camillo De Lellis, Institute for Advanced Study, Princeton Guido De Philippis, Scuola Internazionale Superiore di Studi Avanzati, Trieste Albert Fathi, Georgia Institute of Technology Nicola Gigli, Scuola Internazionale Superiore di Studi Avanzati, Trieste David Jerison, Massachusetts Institute of Technology* Robert McCann, University of Toronto Francesco Maggi, University of Texas at Austin Aldo Pratelli, Università di Pisa Ludovic Rifford, Université Nice Sophia Antipolis Juan Luis Vazquez, Universidad Autónoma de Madrid Cedric Villani, Université Lyon 1