Week: 2 December 2024 - 8 December 2024

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Courses

Date Time Speaker Room 2 December 2024 9:00 - 9:40 'Registration' Aula Dini 9:40 - 9:50 'Welcome address (Prof. Malchiodi)' Aula Dini 9:50 - 10:35 Karl-Theodor Sturm 'Wasserstein Diffusion on Multidimensional Spaces' Aula Dini 10:40 - 11:10 'Coffee break' Aula Dini 11:10 - 11:55 Fabio Cavalletti 'Optimal Transport between algebraic hypersurfaces' Aula Dini 12:00 - 12:45 Enrico Pasqualetto 'Optimal transport methods in metric Sobolev theory' Aula Dini 13:00 - 14:30 'Lunch ' 14:30 - 15:15 Shin-ichi Ohta 'A generalization of Grünbaum’s inequality in RCD(0,N)-spaces' Aula Dini 15:20 - 15:50 Lorenzo Portinale 'Stochastic homogenisation of nonlinear minimum-cost flow problems' Aula Dini 15:55 - 16:25 'Coffee break' Aula Dini 16:25 - 16:55 Karol Bolbotowski 'Optimal stochastic dominance through the lens of optimal transport' Aula Dini 17:00 - 17:30 Giulia Cavagnari 'Dissipative and totally dissipative evolutions in Wasserstein spaces' Aula Dini 5 December 2024 9:00 - 9:45 Gero Friesecke 'The theorems of Rockafellar and Rüschendorf in optimal transport from a PDE point of view' Aula Dini 9:50 - 10:35 Beatrice Acciaio 'Martingale Benamou-Brenier: mimicking a Brownian motion' Aula Dini 10:40 - 11:10 'Coffee break' Aula Dini 11:10 - 11:55 Robert McCann 'A geometric approach to apriori estimates for optimal transport maps' Aula Dini 12:00 - 12:45 Chloé Jimenez 'Bridges between several notions of viscosity solutions in P_2(R^d)' Aula Dini 13:00 - 14:30 'Lunch ' 14:30 - 15:15 Hugo Lavenant 'Gradient flows in the geometry of Sinkhorn divergences' Aula Dini 15:20 - 15:50 Daniele Semola 'The topology of 3-dimensional RCD spaces: recent results and open questions' Aula Dini 15:55 - 16:25 'Coffee break' Aula Dini 16:25 - 16:55 Kimia Nadjahi 'Sliced-Wasserstein distance for generative modeling and unbalanced optimal transport' Aula Dini 6 December 2024 9:00 - 9:45 Stefan Suhr 'On the existence of dual solutions in Lorentzian Optimal Transport' Aula Dini 9:50 - 10:35 Jan Maas 'Anisotropic transport-information inequalities' Aula Dini 10:40 - 11:10 'Coffee break' Aula Dini 11:10 - 11:55 Dario Trevisan 'Asymptotics for Random Quadratic Transportation Costs' Aula Dini 12:00 - 12:45 Alexander Mielke 'On EVI flows for the spherical Hellinger distance and the spherical Hellinger-Kantorovich distance' Aula Dini 13:00 - 15:00 'Lunch ' Aula Dini 3 December 2024 9:00 - 9:45 Gabriel Peyré 'Transformers are Universal In-context Learners' Aula Dini 9:50 - 10:35 Katy Craig 'Optimal transport and particle physics' Aula Dini 10:40 - 11:10 'Coffee break' Aula Dini 11:10 - 11:55 Quentin Mérigot 'Gluing methods for quantitative stability of optimal transport maps' Aula Dini 12:00 - 12:45 Daniel Matthes 'Discretizing Wasserstein gradient flows: simple examples with surprising properties' Aula Dini 13:00 - 14:30 'Lunch ' 14:30 - 15:15 Elsa Cazelles 'Principal component analysis in the pseudo-Riemannian Wasserstein space: a review' Aula Dini 15:20 - 15:50 Anastasiia Hraivoronska 'The fully discrete JKO scheme for nonlinear diffusion and crowd motion models' Aula Dini 15:55 - 16:25 'Coffee break' Aula Dini 16:25 - 16:55 Davide Carazzato 'On the maximizers of a Wasserstein-type energy' Aula Dini 17:00 - 17:30 Flavien Léger 'Minimizing movements with general costs, and nonnegative cross-curvature in infinite dimensions' Aula Dini 4 December 2024 9:00 - 9:45 Yann Brenier 'Monge Ampere gravity: from the large deviation principle to cosmological simulations through optimal transport' Aula Dini 9:50 - 10:35 Simone Di Marino 'The Ground State Energy Is Not Always Convex in the Number of Electrons' Aula Dini 10:40 - 11:10 'Coffee break' Aula Dini 11:10 - 11:55 Guillaume Carlier 'Sharp comparison between the 1-Wasserstein distance and its sliced version' Aula Dini 12:00 - 12:45 Franca Hoffmann 'Knothe-Rosenblatt maps via soft-constrained optimal transport' Aula Dini 13:00 - 14:30 'Lunch '

Visits

Jérôme Pierre François Carrand

Scuola Normale Superiore
1 September 2023 - 30 August 2025 (2020 Junior Visiting Positions)

Naeem Muhammad

University of Rome La Sapienza
2 December 2013 - 6 December 2103 (Deterministic and Stochastic Dynamics in Economics and Finance)

Nicola Orru

University of Cagliari
30 June 2013 - 7 July 2913 (Linear and Nonlinear Hyperbolic Equations)

Luca Saluzzi

Scuola Normale Superiore
15 May 2023 - 14 May 2025 (2020 Junior Visiting Positions)

Simon Michaël Schulz

Scuola Normale Superiore
1 September 2023 - 30 August 2025 (2020 Junior Visiting Positions)

Francesca Tripaldi

Centro di ricerca matematica Ennio De Giorgi - Scuola Normale Superiore
19 December 2022 - 18 December 2024 (2020 Junior Visiting Positions)

Ivan Yuri Violo

Scuola Normale Superiore
1 September 2023 - 30 August 2025 (2020 Junior Visiting Positions)

Marley Young

Scuola Normale Superiore
16 October 2023 - 15 October 2025 (2020 Junior Visiting Positions)