Slowly converging pseudo-Anosovs

Geometric Structures on 3-manifolds
Topic:Slowly converging pseudo-Anosovs
Speaker:Mark Bell
Affiliation:University of Illinois, Urbana-Champaign
Date:Tuesday, March 22
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/geostruct/2016/0322-Bell

A classical property of pseudo-Anosov mapping classes is that they act on the space of projective measured laminations with north-south dynamics. This means that under iteration of such a mapping class, laminations converge exponentially quickly towards its stable lamination. We will discuss a new construction (joint with Saul Schleimer) of pseudo-Anosovs where this exponential convergence has base arbitrarily close to one and so is arbitrarily slow.