Description
Oberseminar Differentialgeometrie
Strict hyperbolization is a procedure that turns a simplicial complex into a space of negative curvature, while preserving some topological features. It has been extensively used in the literature to produce examples of closed aspherical manifolds with exotic geometric features. In this talk, I’ll describe this procedure with a focus on its relative version, and why it produces manifolds with residually finite fundamental groups. Then, I'll discuss some more recent applications to the construction of Riemannian manifolds that are very far away from the world of locally symmetric spaces, and of topological manifolds that may not be virtually triangulable. This is joint work with J.-F. Lafont.