Arithmeticity, superrigidity and totally geodesic manifolds

Abstract: I will discuss recent results showing that a finite volume real or complex hyperbolic manifold with infinitely many maximal totally geodesic submanifolds is arithmetic. The proof brings together homogeneous dynamics and a new superrigidity theorem. [This is joint work with Bader, Miller and Stover.]

algebraic geometrydifferential geometrygroup theorygeometric topologynumber theory

Audience: general audience

International Conference on Discrete groups, Geometry and Arithmetic

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