Conference Proceedings available here.
Conference Poster available here.
Monge-Kantorovich optimal transport, or Monge-Kantorovich optimization, has a rich history. It dates to the classic 1781 paper of Monge, "Memoire sur la theorie des deblais et des remblais", related to the most economical way of moving soil from one area to the other. In its most concrete form its application for military and economic purposes is obvious. Monge specified the theory in terms of minimizing the L1 norm of the distance transported. The L2 theory came later, leading to the Monge-Ampere equation, an important nonlinear partial differential equation. The theory received a boost in the 1940's when Kantorovich generalized it to what is now known as the Kantorovich dual problem, and showed how to deal with it using his newly developed method of linear programming. Kantorovich shared the Nobel Prize in 1975 with T. Koopmans for their work in optimum allocation of resources.
Monge-Kantorovich optimization has been the subject of very active inquiry in the past two decades. The work has included advances in the mathematical theory, in the context of optimization theory, probability theory and partial differential equations. There has also been a considerable amount of work done in applications of Monge-Kantorovich optimization. These far-ranging applications include imaging, adaptive meshing, geophysical fluid dynamics, and cosmology.
There are still many open issues and challenging problems, in theory, in computational methods, and in applications. This workshop will bring together researchers working in all these aspects of Monge-Kantorovich optimization, with the purpose of bridging the gap between the theory, methods, and the various applications.
We invite submissions for posters or short contributed talks. The deadline to be included in the book of abstract is Sept 28th.
Please register as soon as possible for us to have an accurate head count for the refreshements and banquet (which are paid by the workshop).