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College of Liberal Arts and Sciences | Mathematics

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October 29, 2018 | 2:45 p.m. - 4:00 p.m.
Category: Lecture
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Ovidiu Savin, Columbia University

Title: Sharp regularity results for the optimal transport map between planar convex domains

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 review this theory including some recent work concerning the optimal transport map between two arbitrary planar convex domains.

For more information about this event, please contact Department of Mathematics at 3135772479 or