JournalsowrVol. 3 / No. 2DOI 10.4171/owr/2006/25

Pro-<em>p</em> Extensions of Global Fields and pro-<em>p</em> Groups

  • Christian Liedtke

    Universität Bonn, Germany
  • Nigel Boston

    University of Wisconsin, Madison, United States
  • John H. Coates

    University of Cambridge, United Kingdom
Pro-<em>p</em> Extensions of Global Fields and pro-<em>p</em> Groups cover

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Abstract

The meeting \emph{Pro- Extensions of Global Fields and pro- Groups} was organised by Nigel Boston (Madison), John Coates (Cambridge) and Fritz Grunewald (D\"{u}sseldorf). As the name of the meeting conveys, a primary aim was to bring together group theorists working in the field of pro- groups and number theorists interested in pro- extensions of global fields. The workshop consisted of over talks, supplemented by informal discussions. Topics included: Galois groups of extensions with restricted ramification, self-similar and automata groups, non-commutative Iwasawa theory, groups acting on rooted trees. This meeting was well attended with over participants; more than of these came from countries other than Germany. The range of topics and the diverse backgrounds of the participants led to a stimulating exchange of recent results, challenging problems and general ideas. The organisers and participants thank the \emph{Mathematisches Forschungsinstitut Oberwolfach} for providing the setting for this successful workshop. The following extended abstracts appear in the chronological order of the talks; they were collected and edited by Benjamin Klopsch (D\"{u}sseldorf).