Benjamini, Schramm and Timár quantified how well-connected an infinite
graph is in terms of its "separation profile", where one considers the
cut size of finite subgraphs. There is an "L^p" version of this that
uses Poincaré inequalities to measure the connectivity of finite
subgraphs. These "p-Poincaré profiles" were used in previous work with
Hume and Tessera to show a variety of non-embedding results between
groups. I'll mainly talk about current work with Hume where we further
study the connection between these profiles and the conformal dimension
of the boundary at infinity of certain Gromov hyperbolic groups.
Zoom meeting ID: 698 9605 7605
Passcode: A group is called an ________ group if it admits an invariant mean. (8 letters, lowercase)