SMS scnews item created by Boris Lishak at Thu 15 Feb 2018 1355
Type: Seminar
Modified: Thu 22 Feb 2018 1257
Distribution: World
Expiry: 26 Apr 2018
Calendar1: 8 Mar 2018 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Worden -- Veering triangulations: theory and experiment

Geometry and Topology Seminar

Veering triangulations: theory and experiment

William Worden (Temple University)

Thursday 8 March 12:00–13:00 in Carslaw 535.

Please join us for lunch after the talk!

Abstract: Certain fibered hyperbolic 3-manifolds admit a layered veering triangulation, introduced by Agol in 2011. These triangulations have nice combinatorial and dynamic properties, and one is naturally led to the question: can the combinatorial invariants of these triangulations tell us something about the geometry of the 3-manifold? We will present some intriguing experimental results that address this question, and outline a proof that random layered veering triangulations (i.e., coming from a simple random walk on the mapping class group) are non-geometric with probability approaching 1 as the length of the walk goes to infinity. This is joint work with Dave Futer and Sam Taylor.