DG-MP-PDE Seminar: Non-negatively cross-curved transportation costs

  • Date: 11/24/2009
Young-Heon Kim (UBC)

University of British Columbia


The theory of optimal transport is concerned with phenomena arising
when one matches two mass distributions in a most economic way,
minimizing transportation cost of moving mass from one location to
another. We consider an optimal transportation problem with costs
satisfying certain type of degenerate curvature condition. This
condition is a slightly stronger but still degenerate version of the
Ma-Trudinger- Wang condition for regularity of optimal transport maps.
We explain a continuity result of optimal maps with rough data on local
and global domains. If time permits, we will also explain a connection
to Principal- Agent problem in microeconomics. These reflect joint work
in progress with Alessio Figalli and Robert McCann.


3:30pm-4:30pm, WMAX 110

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