Optimal Transport

The problem of Optimal Transport goes back to Monge in 1781: How should one transfer mass from a given initial distribution to a prescribed target distribution in such a way that the total transport cost is minimised? In modern mathematics, Optimal Transport plays a major role in developments at the interface of analysis, probability and geometry. Moreover, the field receives renewed interests by practitioners in data analysis, learning, computer graphics, and geometric modelling.
The program brings together researchers working on Optimal Transport in diverse areas, such as stochastic analysis, mathematical finance, analysis in singular spaces, geometric inequalities, gradient flows, optimal random matching, optimal transport for density matrices, numerical methods, computer vision, and machine learning. The aim of the proposed ESI programme is to establish interactions, encourage new collaborations, and identify synergies between these different disciplines.

The programme contains the following activities:

Talks on April 18, 2019:
13:45 - 14:45: Eric Carlen (Rutgers U)
Brascamp Lieb inequalities for fermions and non-commutative mass transport 

14:45 - 15:45: Yvain Bruned (U of Edinburgh)
Geometric Stochastic Heat Equations

15:45 - 16:45: Josef Teichmann (ETH Zürich)
Machine Learning in Finance 
Flyer (pdf)

Talk on April 25, 2019:
15:45 - 16:45: Mathieu Lewin (CNRS & U Paris-Dauphine)
Optimal Transport and Density Functional Theory 
Flyer (pdf)

Talk on May 2, 2019:
15:45 - 16:45: Florentine Fleißner (TU Munich)
New results on the minimizing movement scheme for gradient flows
Flyer (pdf) 

Introductory School on Optimal Transport, May 6 - 10, 2019
Schedule (pdf)

Special Lecture by Alessio Figalli (ETH Zurich): Monday, May 13, 2019, 9:30 - 12:00
On the regularity theory of optimal transport maps (1) + (2)
Flyer (pdf)

Workshop 1:
Optimal Transport: from Geometry to Numerics, May 13 - 17, 2019
Schedule (pdf)

Talks on May 20, 2019:
14:00 - 14:45: Vitalii Konarovskyi (U of Leipzig)
A particle model for Wasserstein type diffusion 

14:45 - 15:30: Augusto Gerolin (VU Amsterdam)
An Optimal Transport approach for the Schrödinger Bridge problem and convergence of Sinkhorn algorithm

16:00 - 16:45: Edward Chien (MIT)
Clustering with Ricci flow on graphs & Dynamical optimal transport on triangle meshes
Flyer (pdf)

Talks on May 27, 2019:
14:30 - 15:15 Bertram Tschiderer (U Vienna)
Trajectorial Otto calculus

15:45 - 16:30 Malcolm Bowles (U of British Columbia)
Linear mass transfers and ergodic properties of their Kantorovich operators
Flyer (pdf) 

Workshop 2:
Optimal Transport in Analysis and Probability, June 3 - 7, 2019
Schedule (pdf) 

Coming soon.

This event has no subevents associated to it.


Name Affiliation
Mathias Beiglböck University of Vienna
Alessio Figalli ETH Zürich
Jan Maas Institute of Science and Technology Austria
Robert McCann University of Toronto
Justin Solomon MIT


Name Affiliation
Farhan Abedin Michigan State University
Beatrice Acciaio London School of Economics
Anton Arnold Technical University of Vienna
Julio Backhoff University of Vienna
Zoltan Balogh University of Bern
Daniel Bartl University of Vienna
Zehor Belkhatir Memorial Sloan Kettering Cancer Center
Samuel Borza Durham University
Malcolm Bowles University of British Columbia
Mathias Braun University of Bonn
Yann Brenier CNRS
Martin Brückerhoff-Pflückelmann University of Vienna
Yvain Bruned University of Edinburgh
Almut Burchard University of Toronto
Giuseppe Buttazzo University of Pisa
Emanuele Caputo SISSA
Eric Carlen Rutgers University
Guillaume Carlier CEREMADE University Paris Dauphine
Jose Antonio Carrillo de la Plata Imperial College London
Giulia Cavagnari University of Pavia
Edward Chien MIT
Krzysztof Ciosmak University of Oxford
Sebastian Claici MIT
Codina Cotar University College London
Rafael Coyaud Ecole des Ponts Paristech
Matias Gonzalo Delgadino Imperial College London
Nicolo De Ponti University of Pavia
Georgios Domazakis National and Technical University of Athens
Wenkui Du University of Toronto
Virginie Ehrlacher Ecole des Ponts Paristech
Hamza Ennaji Limoges University
Max Fathi CNRS
Dario Feliciangeli Institute of Science and Technology Austria
Michael Fischer Radon Institute, RICAM
Florentine Fleissner Technical University of Munich
Dominik Forkert Institute of Science and Technology Austria
Alfred Galichon New York University
Nicolas Garcia Trillos University of Wisconsin-Madison
Carlo Gasparetto SISSA
Amirmasoud Geevechi University of Toronto
Augusto Gerolin University of Amsterdam
Nassif Ghoussoub University of British Columbia
Nicola Gigli SISSA
Federico Glaudo ETH Zürich
Paola Gori Giorgi University of Amsterdam
Uri Grupel University of Innsbruck
Jan Haskovec King Abdullah University of Science and Technology
Franca Hoffmann California Institute of Technology, Pasadena
Eva Katharina Hopf University of Warwick
David Hornshaw University of Bonn
Mathias Hudoba de Badyn University of Washington
Martin Huesmann University of Vienna
Mikaela Iacobelli ETH Zürich
Junchao Jia London School of Economics
Nicolas Juillet University of Strasbourg
Sigrid Källblad KTH Stockholm
Young-Heon Kim University of British Columbia
Boaz Klartag Weizmann Institute of Science
Maike Klein Technical University of Vienna
Michael Kniely Institute of Science and Technology Austria
Vitalii Konarovskyi University of Leipzig
Alexandru Kristaly Babes-Bolyai University
Kazuhiro Kuwae Fukuoka University
Tobias Lehmann University of Leipzig
Mathieu Lewin CNRS
Stefania Lisai Heriot-Watt University
Daniel Matthes Technical University of Munich
Alexander Mielke Weierstrass Institut Berlin
Cornelia Mihaila University of Chicago
Andrea Mondino University of Warwick
Caroline Moosmüller University of California, San Diego
Ekaterina Mukoseeva SISSA
Paul Navas Technical University Dortmund
Francesco Nobili SISSA
Soumik Pal University of Washington
Aaron Palmer University of British Columbia
Gabriel Peyré CNRS
Giulia Pilli University of Vienna
Dmitry Ponomarev Technical University of Vienna
Lorenzo Portinale Institute of Science and Technology Austria
Maryam Pouryahya Memorial Sloan Kettering Cancer Center
Emanuela Radici University of L'Aquila
Tobias Ried Max Planck Institute for Mathematics in the Sciences
Lorenz Riess Technical University of Vienna
Chiara Rigoni University of Bonn
Martin Rumpf University of Bonn
Flavia Santarcangelo SISSA
Jaime Santos Rodriguez Universidad Autonoma de Madrid
Giuseppe Savaré University of Pavia
Carola-Bibiane Schönlieb University of Cambridge
Stefan Schrott Technical University of Vienna
Robert Seiringer Institute of Science and Technology Austria
Ulisse Stefanelli University of Vienna
Clément Steiner University Toulouse III
Karl-Theodor Sturm University of Bonn
Luca Tamanini University of Bonn
Allen Tannenbaum Stony Brook University
Josef Teichmann ETH Zürich
Nizar Touzi Ecole Polytechnique, Palaiseau
Dario Trevisan University of Pisa
Bertram Tschiderer University of Vienna
Andrei Velicu Imperial College London
Renato Velozo Ruiz University of Cambridge
Ivan Yuri Violo SISSA
Daniel Virosztek Institute of Science and Technology Austria
Max-Konstantin von Renesse University of Leipzig
Johannes Wiesel University of Oxford
Jermey Wu Imperial College London
Junjian Yang Technical University of Vienna
Umberto Zerbinati University of Pavia
Kelvin Shuangjian Zhang ENSAE Paris-Tech
Simon Zugmeyer Institute Camille Jordan
At a glance
Thematic Programme
April 14, 2019 — June 14, 2019
ESI Boltzmann Lecture Hall
Mathias Beiglböck (U of Vienna)
Alessio Figalli (ETH Zurich)
Jan Maas (ISTA, Klosterneuburg)
Robert McCann (U Toronto)
Justin Solomon (MIT, Cambridge)