The programme centers around recent developments on generalized curvature, convexity, and rigidity. The objects of study include Riemannian and Lorentzian cone-manifolds, Hilbert and Finsler metrics, path metric spaces. Among the questions are deformations of geometric structures and their rigidity, approximation and convergence.

A school will take place from September 18 - 22, 2023 with the following mini-courses:

Peter Aichelburg and Piotr Chrusciel (University of Vienna): Elements of general relativity
Andreas Bernig (University of Frankfurt): Curvature tensors and measures of singular spaces
Mohammad Ghomi (Georgia Institute of Technology): Geometric inequalities in spaces of nonpositive curvature
Feng Luo (Rutgers University): Discrete conformal geometry of polyhedral surfaces
Vladimir Matveev (University of Jena): Nijenhuis geometry
Andrea Seppi (University of Grenoble): Anti-de Sitter geometry and applications to hyperbolic surfaces

A conference will take place from October 16 - 20, 2023.