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Topology/Geometry Seminar

Veering triangulations: theory and experiment

David Futer (Temple University)

Location:  Hill 525
Date & time: Tuesday, 23 January 2018 at 3:30PM - 4:30PM

Abstract:  Every fibered hyperbolic 3-manifold M has a canonically associated veering triangulation. This triangulation (technically, an ideal triangulation of a certain surgery parent of M) was introduced by Agol, and has nice combinatorial and dynamical properties. The question is: how much geometry does it encode? I will describe the results of a large-scale computational experiment that provides some intriguing answers. Then, I will promote one of the experimental results to a theorem, outlining a proof that generic mapping classes give rise to non-geometric veering triangulations.

This is joint work with Sam Taylor and Will Worden.

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