Geometry, Topology and Dynamics Seminar
John Mackay
UIUC
Spaces and groups with conformal dimension greater than one
Abstract: The conformal dimension of a metric space is a quasi-symmetric invariant that
in some sense measures the `best shape' of the metric space under quasi-symmetric deformations.
In this talk I'll survey some known results about conformal dimension and
give examples where this invariant is interesting, such as the boundary at
infinity of a Gromov hyperbolic group, paying particular attention to spaces
of topological dimension one. I will also give a lower bound, greater than
one, for a natural class of metric spaces that includes boundaries of
hyperbolic groups that are connected with no local cut points.
Monday February 9, 2009 at 3:00 PM in SEO 612