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Department
of Mathematics
Topology Seminar 2006-2007
Wayne State University
College of Science
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All talks are held
Tuesdays at 2:00 PM
in 1285 FAB, unless otherwise noted.
Contact Dan Isaksen (isaksen AT math.wayne.edu) for more information
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Date:
September 11, 2007
Speaker: Bert Guillou
Title: Massey
products in motivic cohomology
Abstract:
Several candidates for the category of rational mixed Tate motives have
been proposed. One approach, which we will be following, defines this
category as a certain subcategory of the derived category of a certain
(Adams-graded) commutative dga A. Given the different candidates for the
category of MTM's, it is of interest to transport objectss in one
model to another. We will discuss, following a suggestion of S. Bloch, the
construction of certain motives preivously defined in other categories
by Beilinson and Deligne. In the end, this will reduce to the question of
producing a cellular approximation of a certain dg-module over A, and we
will see that the construction of this cell module is controlled by Massey
products in the motivic cohomology of the ground field.
No prior knowledge of the theory of motives will be assumed!
