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Affinoid Duflo theorem for primitive ideals with trivial central character

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  • UserIoan Stanciu (Oxford)
  • ClockWednesday 15 May 2019, 16:30-17:30
  • HouseMR12.

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

Let R be a mixed characteristic DVR with field of fractions K. Let G be a connected, simply-connected, split semisimple affine algebraic group scheme over R with Lie algebra L(G). Ardakov and Wadsley (2013) asked whether we can characterise the primitive ideals in the affinoid enveloping algebra of L(G) with K-rational central character. 

I will begin by reviewing Duflo’s theorem characterizing the primitive spectrum of the classical enveloping algebra of L(G).I will then characterise the primitive ideals in the affinoid enveloping algebra with trivial central character using an affinoid version of Beilinson-Bernstein localisation.

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

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