Geometry MMA Seminar: Primitive-stable and Bowditch actions on hyperbolic spaces

Speaker: Suzanne Schlich,  Université Grenoble Alpes (Grenoble Alpes University) 

Title:  Primitive-stable and Bowditch actions on hyperbolic spaces

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.

Time: Monday, April 29, 2024 – 10:30am-11:45am

Place: Exploratory Hall, Room 4106