On the (in)stability of the identity map in optimal transportation

Analysis Seminar
Topic:On the (in)stability of the identity map in optimal transportation
Speaker:Yash Jhaveri
Affiliation:Member, School of Mathematics
Date:Monday, October 14
Time/Room:5:00pm - 6:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/1017-YashJhaveri

In the optimal transport problem, it is well-known that the geometry of the target domain plays a crucial role in the regularity of the optimal transport. In the quadratic cost case, for instance, Caffarelli showed that having a convex target domain is essential in guaranteeing the optimal transport’s continuity. In this talk, we shall explore how, quantitatively, important convexity is in producing continuous optimal transports.