A Proper Mapping Theorem for coadmissible D-cap-modules

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• Andreas Bode (Oxford)
• Wednesday 07 November 2018, 16:30-17:30
• MR12.

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

The Beilinson-Bernstein equivalence asserts an equivalence between representations of a Lie algebra and modules over the sheaf of differential operators on the corresponding flag variety. We study a p-adic analytic analogue using the notion of coadmissible D-cap-module introduced by Ardakov-Wadsley. Using a suitable finiteness result for direct images under proper morphisms, we show that coadmissible twisted D-cap-modules on partial flag varieties give rise to coadmissible Lie algebra representations, generalizing results by Ardakov-Wadsley for the trivial central character.

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

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