JournalsowrVol. 17, No. 2/3pp. 877–918

Geometric Structures in Group Theory

  • Martin R. Bridson

    Oxford University, UK
  • Cornelia Druţu Badea

    Oxford University, UK
  • Linus Kramer

    Universität Münster, Germany
  • Bertrand Rémy

    École Polytechnique, Palaiseau, France
  • Petra Schwer

    Otto-von-Guericke-Universität Magdeburg, Germany
Geometric Structures in Group Theory cover
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Abstract

The conference focused on the use of geometric methods to study infinite groups and the interplay of group theory with other areas. One of the central techniques in geometric group theory is to study infinite discrete groups by their actions on nice, suitable spaces. These spaces often carry an interesting large-scale geometry, such as non-positive curvature or hyperbolicity in the sense of Gromov, or are equipped with rich geometric or combinatorial structure. From these actions one can investigate structural properties of the groups. This connection has become very prominent during the last years. In this context non-discrete topological groups, such as profinite groups or locally compact groups appear quite naturally. Likewise, analytic methods and operator theory play an increasing role in the area.

Cite this article

Martin R. Bridson, Cornelia Druţu Badea, Linus Kramer, Bertrand Rémy, Petra Schwer, Geometric Structures in Group Theory. Oberwolfach Rep. 17 (2020), no. 2, pp. 877–918

DOI 10.4171/OWR/2020/16