Arbeitsgemeinschaft: Totally Disconnected Groups
Pierre-Emmanuel Caprace
Université Catholique de Louvain, BelgiumNicolas Monod
Ecole Polytechnique Fédérale de Lausanne, Switzerland
![Arbeitsgemeinschaft: Totally Disconnected Groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-owr-volume-11-issue-4.png&w=3840&q=90)
Abstract
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.
Cite this article
Pierre-Emmanuel Caprace, Nicolas Monod, Arbeitsgemeinschaft: Totally Disconnected Groups. Oberwolfach Rep. 11 (2014), no. 4, pp. 2619–2665
DOI 10.4171/OWR/2014/47