Alessio Figalli: Catalogue data in Autumn Semester 2019

Name Prof. Dr. Alessio Figalli
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 45.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 75 30
E-mailalessio.figalli@math.ethz.ch
URLhttps://people.math.ethz.ch/~afigalli/
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-4351-69LOptimal Transport4 credits2VA. Figalli
AbstractIn 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.
ObjectiveThe 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.
LiteratureTopics 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
https://people.math.ethz.ch/~afigalli/lecture-notes-pdf/Optimal-Transport-and-Curvature.pdf
401-5350-00LAnalysis Seminar Information 0 credits1KM. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, University lecturers
AbstractResearch colloquium
Objective