"Geometry and Analysis on Groups" Research Seminar
Time: 2017.01.24, 15:00–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Coarse medians and Property A."
Speaker: Ján pakula
(University of Southampton)
Coarse medians were invented recently by Brian Bowditch (2011), with the
aim of providing a common framework for both hyperbolic groups and
mapping class groups. Loosely speaking, coarse median spaces are metric
spaces which are locally approximable by CAT(0) cube complexes. The
"rank one" situation corresponds exactly to the case of hyperbolic
groups, which are (in the appropriate sense) locally approximable by
trees (= rank one CAT(0) cube complexes).
Our main result is that coarse median spaces of finite rank have
property A. This provides an alternative proof of the result of Y. Kida
(2005) that mapping class groups have property A.
This is a joint work with Nick Wright.