Meeting Details

Title: Motivic cohomology operation Topology/Geometry Seminar Zhaohu Nie, Penn State University Motivic cohomology is the analogue in algebraic geometry of singular cohomology in algebraic topology. The corresponding motivic Borel-Moore homology groups are Bloch's higher Chow groups, which have Chow groups -- algebraic cycles modulo rational equivalence -- as special cases. As such, motivic cohomology enjoys close relationship with algebraic K-theory. Pushing this analogy further, there are reduced power operations in motivic cohomology as counterparts to the topological ones. Voevodsky constructed them following the classical construction of Steenrod. After describing these background briefly, we will present another construction of these operations, following a topological construction of Karoubi. The relation of the two approches is that of a fixed point set with the associated homotopy fixed point set.

Room Reservation Information

Room Number: MB315 09 / 04 / 2008 02:30pm - 03:30pm