Auslander regularity for completed rings of p-adic differential operators

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• Andreas Bode (University Wuppertal)
• Wednesday 31 May 2023, 16:30-17:30
• MR4.

If you have a question about this talk, please contact Simon Wadsley.

Please note the non-standard room.

The theory of co-admissible D-cap-modules on a smooth rigid analytic variety X, introduced by Ardakov-Wadsley, offers a geometric way to study p-adic representations. In this talk, we show that locally, D-cap can be built out of Auslander regular Banach rings of global dimension bounded by 2dimX, and equal to dimX ‘as n goes to infinity’. We use this to derive adjunction and projection formulae for co-admissible D-cap-modules.

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

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