Drilling veering triangulations and applications to pseudo-Anosov flows

Tue Mar 4, 2025 4:00 p.m.—5:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometry & Topology

Event time: 
Tuesday, March 4, 2025 - 4:00pm

Location: 
KT 207

Speaker: 
Anna Parlak

Speaker affiliation: 
University of California, Davis

Event description: 
By a result of Agol and Guéritaud, a transitive pseudo-Anosov flow F on a closed three-manifold N, along with a certain collection O of its closed orbits, determines a veering triangulation V of N - O that encodes F. Together with Henry Segerman, we devised and implemented an algorithm that takes as an input V and a closed orbit c of F that is not in O, and returns a veering triangulation of N - O - c that also encodes F. I will discuss the main ideas behind the algorithm, its key challenges, and its role in collecting experimental evidence for certain conjectures about pseudo-Anosov flows.