Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 2016.06.07, 15:00–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Morse geodesics in lacunary hyperbolic groups."
Speaker: Elisabeth Fink (University of Ottawa)
Abstract: A geodesic is Morse if quasi-geodesics connecting points on it stay uniformly close. Such geodesics mark hyperbolic directions in the Cayley graph of a group. I will use results about hyperbolic groups to study the geometry of lacunary hyperbolic graded small cancellation groups and show how from this we can exhibit Morse geodesics. I will further outline how the existence of Morse geodesics can be used to obtain results about Poisson boundaries of groups. This is joint work with R. Tessera.