Arbeitsgemeinschaft: Totally Disconnected Groups

  • Pierre-Emmanuel Caprace

    Université Catholique de Louvain, Belgium
  • Nicolas Monod

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
Arbeitsgemeinschaft: Totally Disconnected Groups cover
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Locally compact groups are ubiquitous in the study of many continuous or discrete structures across geometry, analysis and algebra. Every locally compact group is an extension of a connected group by a totally disconnected group. The connected case has been studied in depth, notably using Lie theory, a culminating point being reached in the 1950s with the solution to Hilbert’s 5th problem. The totally disconnected case, by contrast, remains full of challenging questions. A series of new results has been obtained in the last twenty years, and today the activity in this area is witnessing a sharp increase. These texts report on the recent Arbeitsgemeinschaft on this topic.

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Pierre-Emmanuel Caprace, Nicolas Monod, Arbeitsgemeinschaft: Totally Disconnected Groups. Oberwolfach Rep. 11 (2014), no. 4, pp. 2619–2665

DOI 10.4171/OWR/2014/47