18 jun 2012 - 22 jun 2012 [open in google calendar]
Université Paris-Sud, Orsay, France
For over two decades, Optimal Transport has been gaining momentum. From this theory, many new developpements have stemmed in fields as diverse as partial differential equations, functional inequalities, geometry, or probability theory. But it has also been very fecund for applied mathematics, yielding results for instance in fluid mechanics, economics, or image processing.
This workshop will gather renowned experts and focus on recent results, with a special interest in the interactions between theory, applications, modeling and numerical resolution. Four subjects will be covered:
- the general theory of transport: existence, regularity, the links with geometry, and the problems coming from needs in modeling;
- the evolution equations that can be studied through optimal transport, its dynamical formulation, and the theory of gradient flows;
- mean-field applications;
- numerical methods for optimal transport, and applications.
It will be preceded by two mini-courses, aimed more particularly at PhD students and young researchers. The first one will be given by Nathaël Gozlan (Univ. Paris-Est) on functional inequalities and concentration of measure; the second one by Quentin Mérigot (UJF, Grenoble) on numerical methods for optimal transport.
Organizers: Francois Bolley, Nicolas Bonnotte, Guillaume Carlier, Jean Louet, Filippo Santambrogio.
Speakers: Luigi Ambrosio, Adrien Blanchet, Yann Brenier, Giuseppe Buttazzo, José Antonio Carillo, Luigi De Pascale, Guido De Philippis, Ivar Ekeland, Alfred Galichon, Nassif Ghoussoub, Nicola Gigli, Nathael Gozlan, Arnaud Guillin, Young-Heon Kim, Christian Léonard, Pierre Louis Lions, Bertrand Maury, Quentin Mérigot, Edouard Oudet, Brendan Pass, Gabriel Peyré, Giuseppe Savaré, Andrei Sobolevski.