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SUMMARY:Frechet-Stein algebras and D-modules on rigid analytic spaces  - A
 ndreas Bode\, University of Cambridge
DTSTART:20151113T150000Z
DTEND:20151113T160000Z
UID:TALK62192@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:In their recent papers\, Ardakov and Wadsley developed a theor
 y of D-modules on rigid analytic spaces which is more analytic in nature t
 han the traditional approach. A priori\, sections of the resulting sheaf o
 f differential operators form a Frechet-Stein algebra only over sufficient
 ly 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 pe
 rmitting\, I will then explain how this might be helpful in studying pushf
 orwards of coadmissible D-modules along a proper morphism\, mostly thinkin
 g about global sections on a flag variety as in the Beilinson-Bernstein co
 rrespondence. 
LOCATION:CMS\, MR4
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