### Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne), by Vladimir Voevodsky

These lecture notes cover four topics. There is a proof of the fact
that the functors represented by the motivic Eilenberg-Maclane spaces
on the motivic homotopy category coincide with the motivic cohomology
defined in terms of the motivic complexes. There is a description of
the equivariant motivic homotopy category for a finite flat group
scheme (over a noetherian base) together with a new characterization
of A^1-equivalences. There is a part where we introduce a class of
sheaves called solid sheaves. Finally there is a part where we study
functors of the form X -> X/G and X -> X^W and show that they preserve
equivalences between term-wise ind-solid simplicial sheaves.

A link to the lecture notes:

Vladimir Voevodsky <vladimir@ias.edu>