Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 2016.01.19, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Geometry of hierarchically hyperbolic spaces."
Speaker: Mark Hagen (University of Cambridge)
Abstract: Hierarchically hyperbolic spaces are a class of spaces defined by abstracting various properties of the mapping class group of a surface; roughly, they are spaces whose geometry is encoded by their projections onto a specified, organized collection of Gromov-hyperbolic metric spaces. As well as mapping class groups, this class includes many groups acting on CAT(0) cube complexes, including all virtually compact special groups, most 3-manifold groups, etc. In this talk, I'll discuss the definition and certain "coning" constructions that enable one to study asymptotic invariants and to build a small-cancellation theory over hierarchically hyperbolic groups.