EVENT DETAILS AND ABSTRACT

Title: Geometry and regularity of optimal transportation
Speaker: Professor Young-Heon Kim
Speaker Info: UBC and IAS
Brief Description:
Special Note:
Abstract:

In optimal transport theory, one wants to understand the phenomena arising when mass is transported in a cheapest way. This variational problem is governed by the structure of the transportation cost function defined on the product of the source and target domains. For regularity of optimal transportation maps, a crucial condition for the cost was found recently by Ma, Trudinger and Wang, which later was confirmed to be necessary by Loeper. This so-called MTW condition turned out to be a curvature condition of a certain pseudo-metric defined by the cost function as observed by McCann and myself. I will explain certain results in this direction.