University of Cambridge > > Algebra and Representation Theory Seminar > The ideal structure of solvable Iwasawa algebras

The ideal structure of solvable Iwasawa algebras

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  • UserAdam Jones (Oxford)
  • ClockWednesday 10 October 2018, 16:30-17:30
  • HouseMR12.

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

Let G be a compact p-adic Lie group, k a field of characteristic p. An ongoing project in the representation theory of compact p-adic Lie groups is classifying the ideal structure of the completed group algebra, or Iwasawa algebra, kG of G. For G nilpotent carrying a p-valuation, a complete classification for Spec(kG) – the spectrum of prime ideals of kG – has previously been established. We aim to try and extend this result to solvable groups. In particular, for G an abelian-by-procyclic group, we will show that we can obtain an analogous classification for Spec(kG).

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

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