DG-MP-PDE Seminar: Young-Heon Kim

  • Date: 11/07/2011
  • Time: 15:30
Young-Heon Kim

University of British Columbia


On supporting hyper plans to convex bodies




Given a convex set and an interior point close to the boundary, we
prove the existence of a supporting hyperplane whose distance to the
point is controlled, in a dimensionally quantified way, by the thickness
of the convex set in the orthogonal direction. This result has
important applications in the regularity theory for Monge-Ampère type
equations arising in optimal transportation. This is joint work with
Alessio Figalli and Robert McCann.

Other Information: 

Please note: the date is tentative


For more information please visit UBC Mathematica Department