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SUMMARY:The relative Breuil-Kisin classification of p-divisible groups - W
 ansu Kim (Cambridge)
DTSTART:20111122T143000Z
DTEND:20111122T153000Z
UID:TALK34171@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let _p_>2 be a prime\, and let O_K be a _p_-adically complete 
 discrete\nvaluation ring with perfect residue field. Then Kisin proved tha
 t\n_p_-divisible groups over O_K can be classified by some concrete semi-l
 inear\nalgebra object\, which are often called Kisin modules (or sometimes
 \,\nBreuil-Kisin modules\; or even\, Breuil modules).\n\nIn this talk\, we
  generalise this result to _p_-divisible groups over an affine\nformal bas
 e which is formally smooth over some p-adic dvr\, under some mild finitene
 ss\nhypothesis on the base -- for example\, we allow the base to be the\nc
 ompletion of an affine smooth scheme over *Z*_p_ along the special fibre. 
 We\nalso show compatibility of various construction of (*Z*_p_-lattice) Ga
 lois\nrepresentations\, including the relative version of Faltings' integr
 al\ncomparison theorem for _p_-divisible groups.\n
LOCATION:MR13
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