Deformation of a hyperbolic 4-orbifold

Deformation of a hyperbolic 4-orbifold

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Peter Storm, University of Pennsylvania
Fine Hall 314

It is well known that Thurston's beautiful deformation theory of hyperbolic structures is mostly useless in dimensions > 3. Steve Kerckhoff and I have been studying a new example of a hyperbolic deformation in 4 dimensions which produces an infinite number of new hyperbolic 4-orbifolds with interesting properties. The talk will attempt to motivate this work. It will be aimed at a general geometry/topology audience.