Title: The classification problem for hyperbolic 3-manifolds
Speaker: Professor Jeffrey Brock
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:
After proving his revolutionary hyperbolization theorem for Haken 3-manifolds in the late 1970s, W. Thurston proposed a conjectural classification and parameterization for infinite volume hyperbolic 3-manifolds with finitely generated fundamental group. His conjectural picture, which has topological and geometric components, predicts that such a hyperbolic 3-manifold is determined by simple topological, combinatorial, and conformal data. I will discuss recent progress on the classification problem from topological, geometric, and dynamical perspectives, including a solution to the classification problem for hyperbolic 3-manifolds with freely-indecomposable fundamental group.Date: Wednesday, January 15, 2003