Formes quadratiques et cycles algébriques [d'après Rost, Voevodsky, Vishik, Karpenko...], by Bruno Kahn

This is a Bourbaki talk (in French) about recent advances on quadratic forms obtained using algebraic cycles modulo 2 and the action of Steenrod operations on them. These techniques are inspired by the methods of Rost and Voevodsky that led to the proof of the Milnor conjecture but are much more elementary, using neither triangulated motives not the homotopy theory of schemes.


Bruno Kahn <kahn@math.jussieu.fr>