NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


Marc Levine

(Northeastern University) 

 

Motives, Motivic Categories and

Motivic Homotopy Theory, II

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 15, 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>