School 2: December 02-05, 2014

Optimal Transport in the Applied Sciences

Main topics

Optimal transport is the variational theory that looks at how to displace masses at minimal-cost and how to choose optimal paths and pairings. It comes from an old-standing problem by G. Monge (1781), later studied by L. Kantorovich (1942) and very much investigated in the last twenty years for his many connections with several mathematical issues.
The thematic school will focus on the applied side of this fruitful theory: numerical methods, applications to evolution PDEs, and multi-marginal problems with applications to physics and economics.


  • Jean-David Benamou (INRIA Rocquencourt)
  • José-Antonio Carrillo (Imperial College)
  • Luigi De Pascale (Univ. Pisa)


Tue, December 2
13:30-14:45 Registration
14:45-18:00 Crash course on optimal transport given by the organizers
Wed, December 3-Fri, December 5 (3 x 2h course / day)
09:30-11:30 Jean-David Benamou (INRIA Rocquencourt)
Computational Optimal Transport
Slides, MATLAB-Skrip
11:30-13:30 Lunch
13:30-15:30 Luigi De Pascale (U. Pisa)
Multimarginal optimal transport problem. Basic theory, open problems and applications
15:30-16:00 Coffee
16:00-18:00 José-Antonio Carrillo (Imperial College)
Gradient Flows: Qualitative Properties & Numerical Schemes
Slides 1 (PDF, 3.3MB), Slides 2 (PDF, 4.2MB), Slides 3 (PDF, 8.4MB)