Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Watch a one-hour conference talk delivered by Ursula Hamenstadt from the University of Bonn exploring branched covers of hyperbolic manifolds. Part of a broader conference at IMPA focused on recent developments in hyperbolic geometry and hyperbolic group theory, this presentation contributes to discussions on hyperbolic manifolds, their submanifolds, and fundamental groups. The talk is one of twenty invited presentations from leading mathematicians worldwide, preceding a workshop aimed at graduate students featuring in-depth minicourses on exotic negatively curved manifolds, building hyperbolic manifolds with Coxeter polytopes, and arithmetic hyperbolic manifolds with their totally geodesic submanifolds. Organized in partnership with the Clay Mathematics Institute and the NSF, this mathematical discourse advances understanding of hyperbolic geometry and related theoretical concepts.