Appears in collection : 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

I will explain how convex projective geometry over ordered non-archimedean fields may be used to study large scale properties of individual real Hilbert geometries and degenerations of convex projective actions. For example, by studying the case of polytopes, we obtain an explicit description of the asymptotic cones of real polytopes.

This is joint work with Xenia Flamm.