# Analysis Seminar

#### Regularity of optimal transport between planar convex domains

Speaker: Hui Yu, Columbia University

Location: Warren Weaver Hall 1302

Date: Thursday, October 11, 2018, 11 a.m.

Synopsis:

In this talk we discuss a W2p estimate for the potential of
optimal transport between two convex domains in the plane, which
improves Caffarelli's C1alpha estimate. Some of the new ideas
developed are an obliqueness result for rough convex domains and a
growth control of the eccentricity of sections of solution to the
Monge-Ampere equation.