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Richard Mathers, University of Oxford
Friday 10 November 2017, 15:00-16:00
Dimension estimates for coadmissible modules
- 👤 Speaker: Richard Mathers, University of Oxford
- 📅 Date & Time: Friday 10 November 2017, 15:00 - 16:00
- 📍 Venue: CMS, MR14
Abstract
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’.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
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