Back to Departmental Colloquium: Spring 2010
Departmental Colloquium
Date: Tuesday, Jan 26, 2010
Time: 4:15PM
Location: JWB 335
TUESDAY
Juan Souto
University of Michigan
Title |
Relations between geometry and topology of hyperbolic 3-manifold. |
Abstract |
By Mostow’s rigidity theorem, geometric invariants of hyperbolic 3-manifolds are in fact topological invariants. On the other hand, it follows from the work of Thurston and Perelman that a 3-manifold is hyperbolic if and only if it satisfies some rather mild conditions. In light of these results, it is an interesting question to try to understand how topological conditions on a 3-manifold M which admits a hyperbolic metric affect the geometry of the hyperbolic metric. This question is rather imprecise. In other words, it has many different incarnations. In this talk I will describe a few results on some concrete formulations of the question above. |
Topology
Geometry and Topology