This workshop is part of the Bernoulli Center programme at EPFL, to be held from 13 to 17 October 2025.
This workshop aims to bring together leading experts and promising junior scientists in the fields of optimal transport and metric geometry. It is specifically designed to foster the contact between researchers who study Ricci curvature from two per se different angles, namely Riemannian and Lorentzian geometry — two disciplines currently enjoying a high research activity. Under the common roof offered by this workshop, the talks outline new developments, results, and challenges in nonlinear PDEs, mathematical general relativity, discrete geometry, random geometry, statistical mechanics, and quantum optimal transport.
Video recordings
MONDAY, October 13.
- Xingyu Zhu. Ricci curvature, linear volume growth and fundamental groups
- Mauricio Che. Wasserstein spaces and isometric rigidity
- Eitan Bachmat. Project management, optics and singular/limiting space-time structures
- Mattia Magnabosco. On the rectifiability of CD(K, N) and MCP(K, N) spaces with unique tangents
- Vanessa Ryborz. The infinitesimal structure of manifolds with non-continuous Riemannian metrics
- Matteo Zanardini. The Lorentzian Benamou–Brenier formula
- Alessandro Pinzi. On the geometry of laws of random measures
TUESDAY, October 14.
- Annegret Burtscher. Metric completeness in Riemannian and Lorentzian geometry
- Ettore Minguzzi. The Lorentzian stable distance and its implications
- Stefan Suhr. Recent progress in non-smooth Lorentzian Geometry
- Csaba Farkas. Compact Sobolev embeddings on non-compact manifolds with applications
- Felix Rott. Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces
- Argam Ohanyan. Optimal transport for general Lorentz costs
- Christian Amend. Atomic gradient flows
- Jawad Ali. Mathematical Modeling of Neural States in the Primary Motor Cortex via Optimal Transport
WEDNESDAY, October 15.
- Karl-Theodor Sturm. Synthetic Integral Scalar Curvature & Minimal Super Ricci Flows
- Shin-ichi Ohta. Concavity of spacetimes
- Esther Cabezas-Rivas. Regularity for a denoising model on manifolds (and beyond?)
THURSDAY, October 16.
- Fabio Cavalletti. Optimal transport on null hypersurfaces and the null energy condition
- Andrea Mondino. On the geometry of synthetic null hypersurfaces and a synthetic null energy condition via optimal transport
- Lorenzo Mazzieri. On the positive mass problem for initial data with a positive cosmological constant
- Shouhei Honda. From almost smooth spaces to RCD spaces
- Clemens Sämann. Lorentzian Gromov–Hausdorff convergence and precompactness
- Christina Sormani. A Compactness Theorem for Timed Hausdorff Convergence of Compact Timed Metric Spaces
FRIDAY, October 17.
