Frechet-Stein algebras and D-modules on rigid analytic spaces

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• Andreas Bode, University of Cambridge
• Friday 13 November 2015, 15:00-16:00
• CMS, MR4.

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

In their recent papers, Ardakov and Wadsley developed a theory of D-modules on rigid analytic spaces which is more analytic in nature than the traditional approach. A priori, sections of the resulting sheaf of differential operators form a Frechet-Stein algebra only over sufficiently nice affinoids, e.g. if the tangent sheaf is free. I will show that we get in fact Frechet-Stein algebras for any smooth affinoid space. Time permitting, I will then explain how this might be helpful in studying pushforwards of coadmissible D-modules along a proper morphism, mostly thinking about global sections on a flag variety as in the Beilinson-Bernstein correspondence.

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

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