Title: Rigidity of convex divisible domains in flag manifolds
Speaker: Wouter van Limbeek (University of Michigan)
Abstract: A projective structure on a manifold is a local modeling of the geometry on the geometry of projective space. Projective structures are usually lack rigidity: E.g. any hyperbolic manifold is canonically projective, but oftentimes the structure can be deformed. There are also projective structures on other manifolds altogether. A natural generalization of these structures is obtained by modeling the local geometry on other Grassmannians. In contrast to the plethora of examples of projective structures, we establish rigidity in this new context: We prove that in the Grassmannian of p-planes in R^{2p}, p>1, every bounded convex domain with a compact quotient is a symmetric space. This is joint work with Andrew Zimmer.
Seminar URL: https://research.math.osu.edu/ggt/