Thursday 14 Mar 2013De Rham-Witt cohomology

Andre Chatzistamatiou - Essen

Harrison 106 14:00-15:00

The de Rham-Witt complex over a perfect field of characteristic p was
defined by Illusie relying on ideas of Bloch. Its hypercohomology admits
a comparison isomorphism to crystalline cohomology, which describes the
latter more explicitly. The definition of the de Rham-Witt complex has
been extended by Langer-Zink to a base scheme where p is nilpotent, and
by work of Hesselholt-Madsen to a general base scheme.

For a base scheme that is etale over the integers, we will show that the
hypercohomology of the de Rham-Witt complex is as well-behaved as the de
Rham cohomology.

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