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SUMMARY:Differential Tannakian categories and fiber functors - Ovchinnikov
 \, A (Illinois\, Chicago)
DTSTART:20090513T163000Z
DTEND:20090513T170000Z
UID:TALK18403@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We define a differential Tannakian category (without using fib
 er fubctors) and show that under a natural assumption it has a fiber funct
 or. If in addition this category is neutral\, that is\, the target categor
 y for the fiber functor are finite dimensional vector spaces over the base
  field\, then it is equivalent to the category of representations of a (pr
 o-)linear differential algebraic group. Our approach generalises Delignes 
 fiber functor construction for the usual Tannakian categories.
LOCATION:Satellite
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