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SUMMARY:A Beilinson-Bernstein Theorem for p-adic analytic quantum groups -
  Nicolas Dupré
DTSTART:20181128T163000Z
DTEND:20181128T173000Z
UID:TALK112084@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:The celebrated localisation theorem of Beilinson-Bernstein ass
 erts\nthat there is an equivalence between representations of a Lie algebr
 a and\nmodules over the sheaf of differential operators on the correspondi
 ng flag\nvariety. In this talk we discuss certain analogues of this result
  in various\ncontexts. Namely\, there is a localisation theorem for quantu
 m groups due to\nBackelin and Kremnizer and\, more recently\, Ardakov and 
 Wadsley also proved a\nlocalisation theorem working with certain completed
  enveloping algebras of\np-adic Lie algebras. We then explain how to combi
 ne the ideas involved in\nthese results to construct a p-adic analytic qua
 ntum flag variety and a\ncategory of D-modules on it\, and we show that th
 e global section functor on\nthese D-modules yields an equivalence of cate
 gories.\n
LOCATION:MR12
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