NORTHEASTERN
UNIVERSITY
MATHEMATICS
DEPARTMENT
REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
Marc
Levine
(Northeastern
University)
Motives, Motivic Categories and
Motivic Homotopy Theory, I
ABSTRACT:
We will give a two-lecture
overview of the history, development and recent work in the area now
broadly known as motives. We will recount the original
constructions of motives due to Grothendieck, the introduction of the
notion of mixed motives by Beilinson, Bloch and Deligne, leading to
Voevodsky’s construction of triangulated categories of motives,
as well as the various conjectures that motivated these constructions.
We will also give some idea of the structure of the triangulated
category of motives and its relation to the larger category of
P^1-spectra.
In the second lecture, we will concentrate on the category of Tate
motives. This category has a concrete description as dg-modules over a
dg-algebra, and in some cases, as the category of representations of a
Lie algebra. We will discuss some applications of this category to the
Galois theory of Q.
Date: April 1, 2005
Time:
10:30 - 11:30
511
Lake Hall
For
further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html
or contact Alex Martsinkovsky <alexmart
at
neu dot edu>