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

Tim Marshall North Dakota State University

The smallest covolume Kleinian group The smallest covolume Kleinian group (with covolume 0.03905...) is obtained as a Z_2 extension of the orientation preserving subgroup of the group generated by reflection in the faces of a 3-5-3 hyperbolic Coxeter tetrahedron. The identification of this group has involved the successive elimination of all the other candidates by showing that they have larger covolume than this group. We outline this process with particular emphasis on the last step: eliminating groups with 2-torsion or 3-torsion. This is joint work with Gaven Martin.

Topic: Deformation theory of hyperbolic 3-manifolds