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

Bruce Kleiner

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

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	International Congress of Mathematicians, ICM 2006
Pages	743-768
Number of pages	26
Volume	2
State	Published - 2006
Event	25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain Duration: Aug 22 2006 → Aug 30 2006

Other

Other	25th International Congress of Mathematicians, ICM 2006
Country/Territory	Spain
City	Madrid
Period	8/22/06 → 8/30/06

Keywords

Geometric group theory
Quasiconformal geometry
Rigidity

ASJC Scopus subject areas

General Mathematics

Cite this

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

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.",

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KW - Geometric group theory

KW - Quasiconformal geometry

KW - Rigidity

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M3 - Conference contribution

AN - SCOPUS:78649645095

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BT - International Congress of Mathematicians, ICM 2006

Y2 - 22 August 2006 through 30 August 2006

ER -

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

Abstract

Other

Keywords

ASJC Scopus subject areas

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Cite this