Translation lengths of parabolic isometries of CAT(0) spaces and their applications

By Yunhui Wu

May 1, 2012

Abstract

We will introduce CAT(0) geometry in the first 30 minutes (hopefully people can follow only if they know some basic facts on the geometry of $\mathbb{R}^2$. And then we will discuss the connection of three different conjectures posed by three people in different decades, which is part of my thesis work.