Speaker: Aidan Lorenz (Vanderbilt University)
Website: [ Ссылка ]

Title: Fibered 3-manifolds and pseudo-Anosov homeomorphisms
Abstract: A result of Thurston's says that a fibered 3-manifold is hyperbolic if and only if it has a pseudo-Anosov monodromy. Moreover, if the second homology of the 3-manifold has dimension larger than or equal to 2, there are infinitely many different ways in which the manifold fibers and hence infinitely many pseudo-Anosov monodromies. Thus one can study families of pseudo-Anosov homeomorphisms and in particular their dilatations by way of hyperbolic fibered 3-manifolds. In this talk we will discuss techniques to do so and progress towards some related results about minimal dilatation pseudo-Anosovs.

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