Conformal dimension and decompositions of hyperbolic groups

Abstract: The conformal dimension of a metric space is the infimum of the possible values of its Hausdorff dimension under quasisymmetric homeomorphisms. The conformal dimension of the boundary at infinity of a Gromov hyperbolic group is a fundamental quasi-isometric invariant. I will discuss how this invariant behaves when the group splits over two-ended subgroups (i.e. when the boundary has local cut points), and applications. Joint work with Matias Carrasco.

analysis of PDEscomplex variablesdynamical systemsmetric geometry

Audience: researchers in the topic

Quasiworld Seminar

Series comments: Sign up to the email list with a google account to view zoom invite, or contact organizers.

See website: sites.google.com/g.ucla.edu/quasiworld/ for details and instructions.