**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

Auth: borisl@como.maths.usyd.edu.au

### 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.

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