Defined by Monge and later by Kantorovich, the mass transportation problem aims at finding a transport plan from a source distribution to a target distribution so that it minimizes a global cost. Since this optimal transport plan is kind of a very specific multi-valued function, no wonder that Optimal Transport Theory has a number of applications in mathematics and in science!
Independently from and due to applications, the original problem was recently enriched by a number of variations among which we find "multi-marginal transport'' problems (for instance, the DFT-OT problem), the "weak transport problem'', the "martingale transport'' problem. In these problems the connection with stochastic optimal transport or other transfer problems (balayage, Skorokhod embedding,...) is more apparent than in the classical transport problem.
During the two days we wish to bring together people working on these particular facets of Optimal Transport.
List of speakers: