Ahlfors Bers Colloquium

May 19-22, 2005
University of Michigan
Ann Arbor, Michigan

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University of Michigan

Mathematics Department

Organizers
Dick Canary
Juha Heinonen

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Workshop Abstract Detail

Hossein Namazi Yale University / Stony Brook University

Heegaard splittings and hyperbolic geometry We will discuss a new approach toward understanding Heegaard splittings and their relation with the geometry of a closed 3-manifold by using hyperbolic geometry. Our method uses deformation theory of hyperbolic structures on manifolds with compressible boundary and in particular handlebodies to describe the hyperbolic structure on closed 3-manifolds. We can use this technique for a family of hyperbolic structures and splittings which have, what we call, "bounded combinatorics." We will try to mention some interesting applications of this approach as well.

Topic: Deformation theory of hyperbolic 3-manifolds