Seminars & Colloquia Calendar
Sharp regularity results for the optimal transport map between planar convex domains
Ovidiu Savin, Columbia University
Location: Hill 705
Date & time: Tuesday, 02 October 2018 at 1:40PM - 3:00PM
Abstract: Given two domains with the same volume, the optimal transport, in its most basic form, consists in mapping one domain into the other by a measure preserving transformation which minimizes a total transport cost. For the quadratic cost, the regularity theory of the map was developed by L. Caffarelli in the early 90s, by making use of its connection with the Monge-Ampere equation. In my talk I will discuss some recent work in collaboration with Hui Yu concerning the optimal transport map between two arbitrary planar convex domains.