### Weight filtration and mixed Tate motives, by Bruno Kahn

This paper, to appear in the proceedings of the October 24-27, 2001,
Kinosaki Algebraic Geometry conference, is mostly a survey of Marc
Levine's work on mixed Tate motives (Algebraic K-theory and algebraic
topology (Lake Louise, 1991), 167--188, NATO Adv. Sci. Inst. Ser. C 407,
Kluwer Acad. Publ., Dordrecht, 1993). It reports on a slight improvement
obtained together with Annette Huber: an explicit formula for the weight
filtration on the full subcategory generated by the Tate objects in
Voevodsky's category of geometrical motives over a field, and some
spectral sequences that can be deduced from it.

Bruno Kahn <kahn@math.jussieu.fr>