The virtual fibering conjecture

June 1, 2016 by Ian Agol

<span>Ian Agol</span>

Certain 3-dimensional manifolds may be formed out of lowerdimensional spaces (curves and surfaces) by taking products, or more generally by twisted products called fibrations. Prof. Agol will describe some of these constructions, and limitations on which 3-manifolds can be constructed this way. He will describe a question of William Thurston which implies that any hyperbolic 3-manifold may be constructed as a fibration up to passing to finite covers. He will then indicate some of the tools that go into the resolution of this question.

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