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Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

Motivic cohomology of formal schemes in characteristic p

by Prof. M. MORROW (Universität Bonn)

mardi 29 mars 2016 de au (Europe/Paris)
at IHES ( Centre de conférences Marilyn et James Simons )
Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

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.

Organisé par Ahmed Abbes
Contact Email: cecile@ihes.fr