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SUMMARY:An integral structure on rigid cohomology - Andreas Langer (Exeter
 )
DTSTART:20120131T143000Z
DTEND:20120131T153000Z
UID:TALK34205@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:For a quasiprojective smooth variety over a perfect field k of
  char p we introduce\nan overconvergent de Rham-Witt complex by imposing a
  growth condition on the\nde Rham-Witt complex of Deligne-Illusie using Ga
 uus norms and prove that its\nhypercohomology defines an integral structur
 e on rigid cohomology\, ie its image\nin rigid cohomology is a canonical l
 attice. As a corollary we obtain that the integral\nMonsky-Washnitzer coho
 mology (considered before inverting p) of a smooth k-algebra\nis of finite
  type modulo torsion.\n\nThis is joint work with Thomas Zink.
LOCATION:MR13
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