event
Thursday 14 Mar 2013: De 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.
