|Date: Monday, November 13, 2017
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: An upper bound on the asymptotic translation length on the curve complex
Abstract: The curve graph of a closed surface is a simplicial complex where the vertices are simple closed curves and edges are curves that are disjoint. A pseudo-Anosov map induces a map from the curve graph to itself, and a basic question is to study the asymptotic translation length which is known to be a non-zero rational number. I will give an introduction on prior works on the study of this asymptotic translation length, and present an improved upper bound for the asymptotic translation length for pseudo-Anosov maps inside a fibered cone, which generalizes the previous result on sequences with small translation length on curve graphs by Kin and Shin. This is a joint work by Hyungryul Baik and Hyunshik Shik.
Speaker: Chenxi Wu