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SUMMARY:Quantum D-Modules - Nicolas Dupré\, University of Cambridge
DTSTART:20150529T140000Z
DTEND:20150529T150000Z
UID:TALK59668@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:In their 2006 paper\, Backelin and Kremnizer developed a theor
 y of quantum D-modules. There had been several earlier attempts at definin
 g quantum D-modules (e.g. by Tanisaki)\, but they were all trying to defin
 e an algebra of quantum differential operators on G/N\, which lead to diff
 iculties. The approach taken by Backelin and Kremnizer was to use the lang
 uage of equivariant sheaves\, which allowed them to write all the classica
 l definitions they needed in terms of affine varieties\, i.e. purely in te
 rms of algebras. For instance\, this allowed them to define a notion of qu
 antum flag variety. My aim is to explain their theory of quantum D-modules
 \, leading to a quantum analogue of the Beilinson-Bernstein theorem. I wil
 l not assume any previous knowledge of quantum groups. Time permitting\, I
  will also say something about how one might try to define quantum p-adic 
 groups.
LOCATION:CMS\, MR14
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