Hossein Namazi


Title: Hyperbolicity from the viewpoint of Heegaard splittings

Abstract: Our understanding of 3-manifolds and in particular hyperbolic 3-manifolds has advanced significantly in recent years. A very important development is relating combinatorial data on 3-manifolds and the geometry of the hyperbolic metric. Such an approach has been most successful in describing the geometry of open hyperbolic 3-manifolds by starting from the combinatorial data of the ends. We will show how similar pictures and descriptions can be used to study the geometry of closed hyperbolic 3-manifolds. In this case the combinatorial information is obtained from a Heegaard splitting and is used to construct approximations of the hyperbolic metric.

April 28 & 29, 2007, Salt Lake City, Utah