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.