On the regularity of optimal transportation mappings


Neil Trudinger

14:00:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The subject of optimal transportation goes back over two hundred years to the Monge problem of moving material from one place to another with the least amount of work. In recent years its theory has blossomed in the wake of a diverse range of applications to areas such as astronomy, economics, image processing and meteorology, with new applications looming in biology and computer networks. In this talk we present sharp conditions on cost functions and domains so that the resultant optimal mappings are smooth diffeomorphisms.