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Motivic cohomology of formal schemes in characteristic p

By Matthew Morrow

The logarithmic Hodge-Witt sheaves of Illusie, Milne, Kato, et al. of a smooth variety in characteristic p provide a concrete realisation of its p-adic motivic cohomology, thanks to results of Geisser-Levine and Bloch-Kato-Gabber which link them to algebraic K-theory. I will explain an analogous theory for formal schemes, as well as applications to algebraic cycles, such as a weak Lefschetz theorem for formal Chow groups.

Information about the video

  • Date of recording 3/29/16
  • Date of publication 4/24/16
  • Institution IHES
  • Format MP4

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