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Optimal Transportation and Applications
24 October 2022 - 28 October 2022
Aims and Research Directions
Organizing Committee
List of Participants
Invited Speakers
Timetable
Registration
Documents
Timetable
Weeks:
[
Mon 24 Oct - Fri 28 Oct
]
Date
Time
Speaker
Room
Mon 24 Oct
8:00- 8:45
Registration
Aula Magna Bruno Pontecorvo
8:45- 9:00
Welcome address Prof. Malchiodi
Aula Magna Bruno Pontecorvo
9:00- 9:45
McCann, Robert
"Pattern formation in particle systems: from spherical shells to regular simplices"
Aula Magna Bruno Pontecorvo
9:45- 10:30
Gangbo, Wilfrid
"On some optimization problems involving matrices of large sizes"
Aula Magna Bruno Pontecorvo
10:30- 11:00
Coffee break
Aula Magna Bruno Pontecorvo
11:00- 11:45
Cardaliaguet, Pierre
"Weak solutions for mean field games with a common noise"
Aula Magna Bruno Pontecorvo
11:45- 12:10
Dello Schiavo, Lorenzo
"The Dirichlet-Ferguson Diffusion on the space of probability measures over a closed Riemannian manifold"
Aula Magna Bruno Pontecorvo
12:30- 14:30
Lunch
14:30- 15:15
Carlier, Guillaume
"Convergence rate of general entropic optimal transport costs"
Aula Magna Bruno Pontecorvo
15:15- 16:00
Fathi, Max
"Globally Lipschitz (non-optimal) maps"
Aula Magna Bruno Pontecorvo
16:00- 16:30
Coffee break
Aula Magna Bruno Pontecorvo
16:30- 17:15
Di Marino, Simone
"Poincaré meets Sinkhorn on the speed of convergence"
Aula Magna Bruno Pontecorvo
17:15- 17:40
Tamanini, Luca
"Gradient estimates for the Schrödinger potentials and convergence to the Brenier map"
Aula Magna Bruno Pontecorvo
Tue 25 Oct
9:00- 9:45
Peyré, Gabriel
"Scaling Optimal Transport for High dimensional Learning"
Aula Magna Bruno Pontecorvo
9:45- 10:30
Cuturi, Marco
"OT at scale: Careful Initialization, Low-rank considerations and Neural Networks"
Aula Magna Bruno Pontecorvo
10:30- 11:00
Coffee break
Aula Magna Bruno Pontecorvo
11:00- 11:45
Chizat, Lénaïc
"Wasserstein Gradient flows of Entropic Optimal Transport"
Aula Magna Bruno Pontecorvo
11:45- 12:10
Facca, Enrico
"Efficient preconditioners for solving dynamical optimal transport via interior point methods"
Aula Magna Bruno Pontecorvo
12:30- 14:30
Lunch
14:30- 15:15
Rigollet , Philippe
"Variational Inference via Wasserstein gradient flows"
Aula Magna Bruno Pontecorvo
15:15- 16:00
Cotar, Codina
"Next order asymptotics for optimal transport and N-point configurations"
Aula Magna Bruno Pontecorvo
16:00- 16:30
Coffee break
Aula Magna Bruno Pontecorvo
16:30- 16:55
Magnabosco, Mattia
"The Brunn-Minkowski inequality and its relation with the CD condition"
Aula Magna Bruno Pontecorvo
16:55- 17:20
De Ponti, Nicolò
"From reverse Poincaré inequalities to bounds on Kantorovich distances"
Aula Magna Bruno Pontecorvo
17:20- 17:45
Sodini, Giacomo Enrico
"A relaxation approach to Optimal Transport with applications to the unbalanced case"
Aula Magna Bruno Pontecorvo
Wed 26 Oct
9:00- 9:45
Figalli, Alessio
"On the regularity of Optimal Maps"
Aula Magna Bruno Pontecorvo
9:45- 10:30
Porretta, Alessio
"Optimal transport and mean-field planning problems with entropic cost"
Aula Magna Bruno Pontecorvo
10:30- 11:00
Coffee break
Aula Magna Bruno Pontecorvo
11:00- 11:45
Santambrogio, Filippo
"A survey of energy estimates in diffusion PDEs that can be obtained mutatis mutandis in the corresponding JKO scheme"
Aula Magna Bruno Pontecorvo
11:45- 12:30
Maas, Jan
"Characterisation of gradient flows"
Aula Magna Bruno Pontecorvo
12:30- 14:30
Lunch
Thu 27 Oct
9:00- 9:45
Sturm, Karl-Theodor
"The Sharp L−p Spectral Gap Estimate or Improved Lichnerowicz Inequality"
Aula Magna Bruno Pontecorvo
9:45- 10:30
Mondino, Andrea
"Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting"
Aula Magna Bruno Pontecorvo
10:30- 11:00
Coffee break
Aula Magna Bruno Pontecorvo
11:00- 11:45
Cavalletti, Fabio
"Synthetic time-like Ricci curvature lower bounds: geometric consequences and applications"
Aula Magna Bruno Pontecorvo
11:45- 12:10
Farinelli, Sara
"Existence of L
1
-optimal maps in CD(K,infty) product spaces"
Aula Magna Bruno Pontecorvo
12:30- 14:30
Lunch
14:30- 15:15
Trevisan, Dario
"Optimal transport methods for combinatorial optimization over two random point sets"
Aula Magna Bruno Pontecorvo
15:15- 16:00
De Palma, Giacomo
"The quantum Wasserstein distance of order 1"
Aula Magna Bruno Pontecorvo
16:00- 16:30
Coffee break
Aula Magna Bruno Pontecorvo
16:30- 17:15
Erbar, Matthias
"Covariance-modulated optimal transport and gradient flows"
Aula Magna Bruno Pontecorvo
17:15- 17:40
Rigoni, Chiara
"Tamed spaces - Dirichlet spaces with distribution-valued Ricci bounds"
Aula Magna Bruno Pontecorvo
17:40- 18:05
Manini, Davide
"Rigidities of Isoperimetric inequality under nonnegative Ricci curvature"
Aula Magna Bruno Pontecorvo
Fri 28 Oct
9:00- 9:45
Bouchitté, Guy
"Optimal design versus maximal Monge-Kantorovich metrics"
Aula Dini
9:45- 10:30
Beiglböck, Mathias
"The Wasserstein space of stochastic processes"
Aula Dini
10:30- 11:00
Coffee break
Aula Dini
11:00- 11:45
Brenier, Yann
"Common variational principles for Euler, Einstein and Schroedinger equations"
Aula Dini
12:30- 14:30
Lunch