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Optimal Transportation

Course Type: 
PhD Course
Academic Year: 
2013-2014
Period: 
January-March
Duration: 
60 h
Description: 

 

  1. The problem of optimal transportation and its variants
  2. Wasserstein distance
  3. Gradient flows
  4. Geometric and functional inequalities
  5. Structure of the Wasserstein space
  6. Ricci curvature bounds

An introduction to optimal transportation The course will be an introduction to optimal trasportation problems. It will be divided into two parts. The first part will be an overview of calssical and more recent topics in optimal transportation: Monge-Kantorovich optimality results, Wasserstein spaces, short introduction to gradient flows, functional inequalities, analysis on spaces with bounded Ricci curvature. The second part will be an advanced introduction to gradient flows in metric spaces.

Location: 
A-133

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