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Dimension estimates for coadmissible modules

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  • UserRichard Mathers, University of Oxford
  • ClockFriday 10 November 2017, 15:00-16:00
  • HouseCMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

In recent years, Ardakov and Wadsley have computed dimension estimates for coadmissible KG-modules, where G is a compact p-adic analytic group and K is a field of very good characteristic p. My recent work has focused on extending these results to cases where the characteristic of K is bad. The classical proof relies on fundamental geometric properties of the dual nilcone of a semisimple Lie algebra; in particular, finding a nice desingularisation of the nilcone and demonstrating that it is normal. I will discuss the importance of these properties, and explain recent progress towards extending these results in cases where the prime p is ‘adequate’.

This talk is part of the Junior Algebra and Number Theory seminar series.

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