401-4351-69L  Optimal Transport

SemesterHerbstsemester 2019
DozierendeA. Figalli
Periodizitäteinmalige Veranstaltung

KurzbeschreibungIn this course I plan to give an introduction to optimal transport: I'll first introduce the optimal transport problem and explain how to solve it in some important cases of interest. Then I'll show a series of applications to geometry and to gradient flows.
LernzielThe aim of the course is to provide a self contained introduction to optimal transport. The students are expected to know the basic concepts of measure theory. Although not strictly required, some basic knowledge of Riemannian geometry may be useful.
LiteraturTopics in Optimal Transportation (Graduate Studies in Mathematics, Vol. 58), by Cédric Villani

Optimal Transport for Applied Mathematicians (Calculus of Variations, PDEs, and Modeling), by Filippo Santambrogio

Optimal transport and curvature, available at