Advances in Numerical Optimal Transportation (15w5067)


Jean-David Benamou (INRIA)

(CNRS, Ecole Polytechnique)



The Banff International Research Station will host the "Advances in Numerical Optimal Transportation" workshop from February 15th to February 20th, 2015.

Optimal Transportation is a mathematical research topic which began two centuries ago with Monge’s work on “des remblais et deblais”. This engineering
problem consists in minimizing the transport cost between two given mass densities. In the 40’s, Kantorovitch solved the dual problem and interpreted it as an
economic equilibrium. The Monge-Kantorovitch problem became a specialized research topic in optimization and Kantorovitch obtained the 1975 Nobel prize in
economics for his contributions to resource allocations problems. Following the seminal discoveries of Brenier in the 90’s, Optimal Transportation has received
renewed attention from mathematical analysts and the Fields Medal awarded in 2010 to C. Villani, who gave important contributions to Optimal
Transportation, arrived at a culminating moment for this theory. Even tough Optimal transportation has always been connected with concrete
applications, its main scientific achievements are theoretical. One reason is the complexity of approximating and simulating the Optimal transport Mass and cost on computers. The comunity of numericians interested in this problem is developping rapidly as well as the applications of Optimal Tansport in many fields :
image warping ; frontongenesis models in meteorology ; mesh adaptation in fluid models ; cosmology ; reflector design ; finance and mathematical economics ...
The meeting will adress this modelization problem as well as the proposed methods to solve them on computers.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).