Talk
Primitive-stable and Bowditch actions on hyperbolic spaces
- Suzanne Schlich (Université Grenoble Alpes Institut Fourier)
Abstract
In this talk, we will introduce Bowditch representations of the free group of rank two (defined by Bowditch in 1998) along with primitive-stable representations (defined by Minsky in 2010) acting on Gromov hyperbolic spaces. Minsky first introduced primitive-stable representations in PSL(2,C) to construct an open domain of discontinuity in the character variety. We will discuss the equivalence between primitive-stable and Bowditch representations. We will also introduced simple-stable representations of a surface group and give a similar result in the case of the four-punctured sphere.