** "Geometry and Analysis on Groups" Research Seminar **

**Time:** 2017.04.25, 15:00–17:00

**Location:** Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock

**Title:** The Floyd boundary of a hyperbolic group is its Gromov boundary.

**Speaker:** Christopher Cashen

**Abstract:** Using the Gehring-Hayman theorem on conformal deformations of the plane and its generalization to Gromov hyperbolic spaces, we will show that the Floyd boundary of a hyperbolic groups is the same as its Gromov boundary. If there is time, I'll also talk a little about relatively hyperbolic groups and their boundaries.