## 2008 DG-MP-PDE Seminar - 05

• Date: 02/26/2008
Lecturer(s):
Yuxin Ge (Université Paris XII)
Location:

University of British Columbia

Topic:

Regularity of optimal transportation maps

Description:

Given a couple of smooth positive measures of same total mass on a
compact Riemannian manifold $M$, we look for a smooth optimal
transportation map $G$, pushing one measure to the other at a least
total squared distance cost. The recent local $C^2$ estimate of
Ma--Trudinger--Wang enabled G. Loeper to treat the standard sphere
case. In this talk, we discuss this topic on manifolds with curvature
sufficiently close to 1 in $C^2$ norm. This is a joint work with P.
Delanoe.

Schedule:

3:30pm, WMAX 110