JournalsowrVol. 7 , No. 2DOI 10.4171/owr/2010/20

Non-positive Curvature and Geometric Structures in Group Theory

  • Martin R. Bridson

    University of Oxford, UK
  • Linus Kramer

    Universität Münster, Germany
  • Bertrand Rémy

    Université Claude Bernard Lyon 1, Villeurbanne, France
  • Karen Vogtmann

    University of Warwick, Coventry, United Kingdom
Non-positive Curvature and Geometric Structures in Group Theory cover

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Abstract

The focus of this meeting was the use of geometric methods to study infinite discrete groups. Key topics included isometric actions of such groups on spaces of nonpositive curvature, such as CAT(0) cube complexes, buildings, and hyperbolic or symmetric spaces. These actions lead to a rich and fruitful interplay between geometry and group theoretic questions.