The asymptotic geometry of negatively curved spaces: Uniformization, geometrization and rigidity

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationInternational Congress of Mathematicians, ICM 2006
Pages743-768
Number of pages26
Volume2
StatePublished - 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: Aug 22 2006Aug 30 2006

Other

Other25th International Congress of Mathematicians, ICM 2006
CountrySpain
CityMadrid
Period8/22/068/30/06

Fingerprint

Hyperbolic Groups
Uniformization
Rigidity
Quasiconformal
Theorem
Class

Keywords

  • Geometric group theory
  • Quasiconformal geometry
  • Rigidity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Kleiner, B. (2006). The asymptotic geometry of negatively curved spaces: Uniformization, geometrization and rigidity. In International Congress of Mathematicians, ICM 2006 (Vol. 2, pp. 743-768)

The asymptotic geometry of negatively curved spaces : Uniformization, geometrization and rigidity. / Kleiner, Bruce.

International Congress of Mathematicians, ICM 2006. Vol. 2 2006. p. 743-768.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kleiner, B 2006, The asymptotic geometry of negatively curved spaces: Uniformization, geometrization and rigidity. in International Congress of Mathematicians, ICM 2006. vol. 2, pp. 743-768, 25th International Congress of Mathematicians, ICM 2006, Madrid, Spain, 8/22/06.
Kleiner B. The asymptotic geometry of negatively curved spaces: Uniformization, geometrization and rigidity. In International Congress of Mathematicians, ICM 2006. Vol. 2. 2006. p. 743-768
Kleiner, Bruce. / The asymptotic geometry of negatively curved spaces : Uniformization, geometrization and rigidity. International Congress of Mathematicians, ICM 2006. Vol. 2 2006. pp. 743-768
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