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Analytic pro-p groups over pro-p domains - an introduction

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  • UserBen Klopsch (Magdeburg and Royal Holloway)
  • ClockFriday 22 March 2013, 12:00-13:00
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

First talk of a South England profinite groups meeting

The theory of Lie groups is highly developed in characteristic zero. Over the last decades, the theory of compact p-adic analytic groups has led to profound applications in finite and infinite group theory. In contrast to this, fairly little is known about analytic groups over local fields of positive characteristic p or, more generally, pro-p domains of characteristic p and higher Krull dimension. I will briefly recall key aspects of the theory of p-adic analytic groups and touch upon applications of the available Lie theory to representation zeta functions. Then I will focus on the structure theory of analytic groups over pro-p domains of positive characteristic. Here I will outline both what we know and what we do not yet know.

This talk is part of the Algebra and Representation Theory Seminar series.

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