Download the conference programme (pdf).
Slides of miniseries
Gilles Carron: Kato bounds on the Ricci Curvature
Robert McCann: Calculus on metric measure spacetimes: a nonlinear d’Alembert comparison and the Lorentzian splitting theorems (Parts 1 and 2)
Daniele Semola: The Topology of Noncollapsed Spaces with Ricci bounded from below (Parts 1 and 2)
Yair Shenfeld: Intrinsic dimensional functional inequalities and matrix displacement convexity
Slides of invited lectures
Annegret Burtscher: Length metric structures on Lorentzian manifolds, and beyond
Benoit Dagallier: The Polchinski renormalisation group flow: an introduction
Nicola Gigli: Concepts in Hyperbolic Functional Analysis
Souhei Honda: Spectral gap, spectral convergence and related open problems
Emanuel Milman: Isoperimetric inequalities on flat tori and cubes
Andrea Mondino: Optimal transport on null hypersurfaces and the null energy condition
Mathav Murugan: Sobolev space on the Sierpinski carpet
Shin-Ichi Ohta: A generalization of Grünbaum’s inequality in RCD(0,N)-spaces
Tapio Rajala: Approximations by uniform domains and BV-extension sets in metric measure spaces
Max von Renesse: Sticky-Reflecting Diffusion: Functional Inequalities and Gradient Flow Structure
Luca Rizzi: Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
Slides of contributed talks
Samuël Borza: The Measure Contraction Property in the sub-Finsler Heisenberg group
Mathias Braun: Distance functions, Bochner inequality, and volume singularities
Emanuele Caputo: Poincaré inequality and energy of separating sets
Krzysztof Ciosmak: Localisation for constrained transports
Florian Fischer: Sharp Hardy-type inequalities on non-compact harmonic manifolds
Ronan Herry: Wasserstein geometry and Ricci curvature bounds for Poisson spaces
Kazuhiro Kuwae: Gradient estimate of V -harmonic maps under (m,V )-Ricci curvature bounds for non-positive m
Jonas Jalowy: Optimal transport of stationary point processes
Mattia Magnabosco: Some results about existence and uniqueness of optimal transport maps
Davide Manini: Isoperimetric inequality for irreversible Finsler manifolds with non-negative Ricci curvature
Xiangqian Meng: Harnack inequality for weakly coupled nonlocal systems
Lorenzo Portinale: Stochastic homogenisation of nonlinear minimum-cost flow problems
Filippo Quattrocchi: Variational structures for the Fokker-Planck equation with Dirichlet boundary conditions
Vanessa Ryborz: On the equivalence of distributional and synthetic Ricci curvature lower bounds
Tommaso Rossi: Failure of the curvature-dimension condition in sub-Finsler geometry
Yohei Sakurai: Almost splitting and quantitative stratification for super Ricci flow
Luca Tamanini: The Riemannian geometry of Sinkhorn divergences
François-Xavier Vialard: Nonnegative cross-curvature in infinite dimensions: synthetic definition and the space of measures
Dmitry Vorotnikov: Some aspects of harmonic functions valued in metric spaces, with links to OT