Noncommutative Geometry Seminar

Date: October 26, 2016

Time: 2:00PM - 2:50PM

Location: BLOC 628

Speaker: Erik Guentner, University of Hawaii at Manoa

Title: Proper affine actions of certain relatively hyperbolic groups

Abstract: I will discuss the following result: if a group is hyperbolic relative to a subgroup with polynomial growth then it admits a proper isometric action on a reasonable Banach space. A key idea of the proof is to combine Mineyev’s flower construction for hyperbolic graphs of bounded geometry with an averaging technique that uses amenability of the peripheral subgroup.