D-modules on rigid analytic spaces

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• Simon Wadsley (Cambridge)
• Tuesday 23 January 2018, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Beth Romano.

In this talk I will describe I will discuss some recent work (including work in progress) with Konstantin Ardakov that seeks to develop a framework for a theory of D-modules on rigid analytic spaces. The underlying motivation for this is to better understand (locally analytic) representation theory of p-adic Lie groups following seminal work of Beilinson and Bernstein in the complex case. After some discussion of this motivation, I plan to describe our construction of a sheaf of (completed) differential operators on a smooth rigid space and give some justifications for this construction above others. I then hope to explain what analogues of classical results we have so far managed to prove and why naive guesses as to how to generalise some other results fail.

This talk is part of the Number Theory Seminar series.

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