The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity
Bruce KleinerCourant Institute of Mathematical Sciences, New York, United States
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This is a survey of recent developments at the interface between quasiconformal analysis and the asymptotic geometry of Gromov hyperbolic groups. The main theme is the extension of Mostow rigidity and related theorems to a broader class of hyperbolic groups, using recently developed analytic structure of the boundary.