### Decompositions of hyperbolic groups and conformal dimension

Ergodic Theory and Dynamical Systems Seminar

28th November 2019, 2:00 pm – 3:00 pm

Fry Building, 2.04

The Hausdorff dimension of a metric space can vary under quasisymmetric/quasiconformal homeomorphisms; the infimal possible value it can take is the conformal dimension of the metric space, introduced by Pansu. For a Gromov hyperbolic group, the conformal dimension of its boundary at infinity is one of the fundamental invariants of the group. I will discuss new ways to compute this invariant when the group splits over two-ended subgroups, and applications. Joint work with Matias Carrasco.

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