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SUMMARY:Holonomic D-modules\, b-functions\, and coadmissibility - Andreas 
 Bode\, University of Oxford
DTSTART:20180209T150000Z
DTEND:20180209T160000Z
UID:TALK99190@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:Since differentiation generally lowers exponents\, it is strai
 ghtforward that the ring C[x\, x^-1^] is a finitely generated module over 
 the ring of differential operators C[x\, d/dx]. This innocent looking fact
  has been vastly generalized to a statement about holonomic D-modules\, us
 ing the beautiful theory of Bernstein's b-function (or Bernstein--Sato pol
 ynomial). I will give a brief overview of the classical theory before disc
 ussing some recent developments concerning a p-adic analytic analogue.\nTh
 is is joint work with Konstantin Ardakov and Simon Wadsley.
LOCATION:CMS\, MR14
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