Lecture 1: Topology vs. Geometry: Volumes of Hyperbolic 3-Manifolds

Thu, 25/12/200816:00-17:30
Prof. David Gabai (Princeton)
We outline a proof that the Weeks manifold is the lowest volume closed orientable hyperbolic 3-manifold.
Along the way we discuss a number of beautiful and simple ideas needed to understand the topology and geometry of low dimensional manifolds.