### Milnor's conjecture on quadratic forms and mod 2 motivic complexes, by Fabien Morel

Let F be field of characteristic different from 2. In this paper we
give a new proof of Milnor's conjecture on the graded ring associated
to the powers of the fundamental ideal of the Witt ring of quadratic
forms over F, first proven by Orlov, Vishik and Voevodsky. We also
use Voevodsky's affirmation of Milnor's conjecture on the mod 2 Galois
cohomology of fields. Besides this fact, we only use some elementary
homological algebra in the abelian category of Zariski sheaves on the
category of smooth k-varieties, involving classical results on sheaves
of Witt groups, Rost's cycle modules and sheaves of 0-equidimensional
cycles.

Fabien Morel <morel@math.jussieu.fr>