Description

Book Synopsis
Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and this volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory.

Table of Contents
  • CAT(0) cube complexes and groups by M. Sageev
  • Geometric small cancellation by V. Guirardel
  • Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace
  • Lectures on quasi-isometric rigidity by M. Kapovich
  • Geometry of outer space by M. Bestvina
  • Some arithmetic groups that do not act on the circle by D. W. Morris
  • Lectures on lattices and locally symmetric spaces by T. Gelander
  • Lectures on marked length spectrum rigidity by A. Wilkinson
  • Expander graphs, property t and approximate groups by E. Breuillard
  • Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. Bridson

Geometric Group Theory

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    A Hardback by Miaden Bestvina, Michah Sageev, Karen Vogtmann

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      Book details

      Publisher American Mathematical Society
      Published 28 February 2015
      ISBN-13 9781470412272
      978-1470412272
      ISBN-10 1470412276
      Also in:
      Mathematics Algebra Topology Not Just Books Stationery

      Description

      Book Synopsis
      Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and this volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory.

      Table of Contents
      • CAT(0) cube complexes and groups by M. Sageev
      • Geometric small cancellation by V. Guirardel
      • Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace
      • Lectures on quasi-isometric rigidity by M. Kapovich
      • Geometry of outer space by M. Bestvina
      • Some arithmetic groups that do not act on the circle by D. W. Morris
      • Lectures on lattices and locally symmetric spaces by T. Gelander
      • Lectures on marked length spectrum rigidity by A. Wilkinson
      • Expander graphs, property t and approximate groups by E. Breuillard
      • Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. Bridson

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