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Spaces and groups with conformal dimension greater than one
| Speaker: | John Mackay (University of Illinois at Urbana-Champaign) |
| Date and Time: | Nov 25, 15:45 |
| Location: | HG G 43 (HWZ) |
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'll also give a lower bound greater than one for the conformal dimension of a natural class of metric spaces that includes boundaries of hyperbolic groups that are connected with no local cut points.
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