Motivic Complexes of Suslin and Voevodsky, by Eric Friedlander

In this report we sketch some of the insights and consequences of recent work by Andrei Suslin and Vladimir Voevodsky concerning algebraic K-theory and motivic cohomology. We can trace these developments to a lecture at Luminy by Suslin in 1987 and to Voevodsky's Harvard thesis in 1992. What results is a powerful general theory of sheaves with transfers on schemes over a field, a theory developed primarily by Voevodsky with impressive applications by Suslin and Voevodsky.

This paper was delivered at Seminar Bourbaki.


Eric Friedlander <eric@math.nwu.edu>