SMS scnews item created by Boris Lishak at Wed 22 May 2019 1458
Type: Seminar
Distribution: World
Calendar1: 28 May 2019 1400-1500
CalLoc1: Carslaw 535A
CalTitle1: Segerman -- From veering triangulations to pseudo-Anosov flows

Geometry and Topology Seminar

From veering triangulations to pseudo-Anosov flows

Henry Segerman (OSU)

May 28, 14:00-15:00 in Carslaw 535. Seminar schedule

Please join us for lunch before the talk. We are meeting at 12:45 on Carslaw level 2.

Abstract: Agol introduced veering triangulations of mapping tori, whose combinatorics are canonically associated to the pseudo-Anosov monodromy. In unpublished work, Guéritaud and Agol generalise an alternative construction to any closed manifold equipped with a pseudo-Anosov flow without perfect fits.

Schleimer and I build the reverse map: from a transverse veering triangulation we canonically construct a dynamic pair in the sense of Mosher, which implies a combinatorial version of a pseudo-Anosov flow without perfect fits.

I will also talk about work with Giannopolous and Schleimer building a census of transverse veering triangulations. The current census lists all transverse veering triangulations with up to 16 tetrahedra, of which there are 87,047. The number approximately doubles with each added tetrahedron.

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