Department of Mathematics

Analysis and PDE

  •  Seonghyeon Jeong, MSU
  •  The Kantorovich duality and c-convexity
  •  04/21/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Dapeng Zhan (zhan@msu.edu)

The Kantorovich duality was a big breakthrough in the optimal transportation problem. The Kantorovich duality provides information of the transportation plan. In this talk, I present two proofs of the Kantorovich duality. The first proof uses the c-convex functions and Arzela-Ascoli to construct a solution of the dual problem. The second proof uses a geometric property of the support of the transportation plan which is called c-cyclical monotonicity. We are going to use the same zoom link and passcode as before.

 

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Michigan State University
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