Optimal Transport and Applications
Italy
ORGANIZERS
Luigi Ambrosio(Scuola Normale Superiore, Pisa)
Giuseppe Buttazzo(Pisa University)
Alexander Mielke(WIAS, Berlin)
Giuseppe Savaré(Pavia University)
Speakers
Fabrice Baudoin(Purdue University)Jean-David Benamou(INRIA)
Yann Brenier(École Polytechnique)
Sergio Caracciolo(Milan University)
Pierre Cardalliaguet(Paris Dauphine University)
Guillaume Carlier(Paris Dauphine University)
Maria Colombo(ETH/Zurich University)
Luigi De Pascale(Pisa University)
Simone Di Marino(Paris-Sud University)
Matthias Erbar(Bonn University)
Max Fathi(UC Berkeley)
Massimo Fornasier(Technical University of Munich)
Wilfrid Gangbo(UCLA, Los Angeles)
Nicola Gigli(SISSA, Trieste)
Nassif Ghoussoub(British Columbia University)
Martin Huesmann(Bonn University)
Kazumasa Kuwada(Tokyo Institute of Technology)
Matthias Liero(WIAS, Berlin)
Jan Maas(IST, Wien)
Daniel Matthes(Technical University of Munich)
Andrea Mondino(ETH, Zurich)
Leonard Monsaingeon(Instituto Superior Técnico, Lisboa)
Shin-Ichi Ohta(Kyoto University)
Mark Peletier(Eindhoven University of Technology)
Gabriel Peyré(Paris Dauphine University)
Benedetto Piccoli (to be confirmed)(Rutgers University)
Filippo Santambrogio(Paris-Sud University)
Karl-Theodor Sturm(Bonn University)
Allen Tannenbaum(Stony Brook University, New York)
Programme
Monday 7
8.30-8.55. Registration.
8.55-9.00. Welcome address.
9.00-9.50. Nicola Gigli (SISSA). Schroedinger problem and Wasserstein geodesics.
10.00-10.50. Allen Tannenbaum (Stony Brook University, New York). Optimal Mass Transport and the Robustness of Complex Networks.
10.50-11.30. Coffee break.
11.30-12.20. Shin-ichi Ohta (Kyoto University). Some functional inequalities on non-reversible Finsler manifolds.
Lunch.
14.30-15.20. Yann Brenier (Ecole Polytechnique). Optimal transport and combinatorial optimization: old and new.
15.30-16.20. Max Fathi (UC Berkeley). Deficit estimates for the Entropy Power inequality.
16.20-16.50. Coffee break.
16.50-17.40. Simone Di Marino (Paris-Sud University). DFT, multimarginal optimal transport and Lieb-Oxford inequalities.
Tuesday 8
9.00-9.50. Fabrice Baudoin (University of Connecticut). Differential forms on Dirichlet spaces and Bakry-Emery estimates on metric graphs.
9.55-10.45. Mark Peletier (Eindhoven University of Technology). Convergence of many-dislocation evolutions with multiple signs.
10.45-11.15. Coffee break.
11.15-12.05. Sergio Caracciolo (Milan University). Random and Euclidean Bipartite Matching Problem.
12.10-13.00. Wilfrid Gangbo (Georgia Institute of Technology). Paths of minimal length in the class of exact k-differential forms.
Lunch.
14.30-15.20. Pierre Cardaliaguet (Paris Dauphine University). The master equation in mean field games.
15.25-16.15. Luigi De Pascale (Florence University). On multimarginal Optimal Transportation with Coulomb cost.
16.20-16.50. Coffee break.
16.50-17.40. Matthias Erbar (Bonn University). A gradient flow approach to the Boltzmann equation.
17.45-18.35. Massimo Fornasier (Technical University of Munich). Learning and Sparse Control of Multiagent Systems.
Wednesday 9
9.00-9.50. Filippo Santambrogio (Université Paris-Sud). Flow interchange techniques and the time-discretization of variational Mean Field Games.
9.55-10.45. Martin Huesmann (Bonn University). The geometry of multi-marginal Skorokhod embedding.
10.45-11.15. Coffee break.
11.15-12.05. Maria Colombo (ETH/University of Zurich). Lipschitz Changes of Variables between Perturbations of Log-Concave Measures.
12.10-13.00. Jan Maas (IST, Wien). Gradient flow structures for quantum evolution equations with detailed balance.
Lunch.
Free afternoon
Thursday 10
9.00-9.50. Andrea Mondino (Zurich University). Sectional (and intermediate Ricci) curvature lower bounds via Optimal Transport.
9.55-10.45. Gabriel Peyre (Paris Dauphine University). From Monge-Kantorovich to Gromov-Wasserstein: Numerical Optimal Transport Between Several Metric Spaces.
10.45-11.15. Coffee break.
11.15-12.05. Kazumasa Kuwada (Tokyo Institute of Technology). Monotonicity and Rigidity of the W-entropy on RCD(0, N) spaces.
12.10-13.00. Jean-David Benamou (INRIA). Monge-Ampère Based Optimal Transportation Solvers.
Lunch.
14.30-15.20. Shouhei Honda (Tohoku University). Ricci curvature and orientability.
15.25-16.15. Daniel Matthes (Technical University of Munich). A gradient flow approach to multi-component Cahn-Hilliard systems.
16.20-16.50. Coffee break.
16.50-17.40. Matthias Liero (WIAS, Berlin). On geodesic curves and convexity of functionals with respect to the Hellinger-Kantorovich distance.
17.45-18.35. Leonard Monsaingeon (Istituto Superior Técnico, Lisboa). Incompressible immiscible multiphase flows in porous media: a variational approach.
Friday 11
9.00-9.50. Karl-Theodor Sturm (Bonn University). Heat flow on time-dependent metric measure spaces and super Ricci flows.
10.00-10.50. Guillaume Carlier (Paris Dauphine University). Numerical methods for Wasserstein gradient flows.
10.50-11.30. Coffee break.
11.30-12.20. Nassif Ghoussoub (University of British Columbia). Optimal Mass Transport for Ballistic Costs: Factorizations, Existence and Mean Field Games.