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SUMMARY:D-modules on rigid analytic spaces - Simon Wadsley (Cambridge)
DTSTART:20180123T143000Z
DTEND:20180123T153000Z
UID:TALK94825@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION: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 underl
 ying motivation for this is to better understand (locally analytic) repres
 entation theory of p-adic Lie groups following seminal work of Beilinson a
 nd Bernstein in the complex case. After some discussion of this motivation
 \, I plan to describe our construction of a sheaf of (completed) different
 ial operators on a smooth rigid space and give some justifications for thi
 s construction above others. I then hope to explain what analogues of clas
 sical results we have so far managed to prove and why naive guesses as to 
 how to generalise some other results fail.
LOCATION:MR13
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