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.
Organizers
| 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 |
Attendees
| Name | Affiliation |
|---|---|
| Farhan Abedin | Michigan State University |
| Beatrice Acciaio | ETH Zürich |
| 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 Institute 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 |