Algebra/Topology seminar

Speaker: Lennart Meier (Bonn)

Title: Duality for Real spectra

Abstract:  K-theory with Reality was introduced by Atiyah as a combination of real and complex K-theory. Later this was generalized to C_2-equivariant spectra BPR<n> and related theories. Despite their complexity, these are still computationally accessible.
In joint work with John Greenlees, we search for a universal coefficient sequence for BPR<n>. Every homology theory is related by a universal coefficient sequence to the cohomology theory represented by its Anderson dual. We calculate the Anderson dual of BPR<n> and relate it to local cohomology.