Algebra/Topology seminar – University of Copenhagen

Algebra/Topology seminar

James Cameron (University of Washington), The Duflot filtration in equivariant cohomology and applications to local cohomology

Abstract: I will describe how to use a filtration of Duflot on the Borel equivariant cohomology ring of a smooth manifold with an elementary abelian p-group action to study the local cohomology modules of group cohomology rings. I'll give a refinement of the Duflot filtration to a filtration by a poset related to fixed point data, and discuss implications for the geometry of group cohomology rings, and also local cohomology computations for the group cohomology of a Sylow p-subgroup of S_p^n.