Seminars & Colloquia Calendar
On the (in)stability of the identity map in optimal transportation
Yash Jhavari, Institute for Advanced Study
Location: Hill 705
Date & time: Tuesday, 05 March 2019 at 1:40PM - 3:00PM
Abstract: 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.