Speaker: Po Hu (Wayne State University)

Title: On Burnside Mackey homology for complex and quaternion units

Abstract: Equivariant ordinary homology theories, corresponding to Mackey functors, are graded by the representation ring RO(G). The representation-grading carries rich information, while also making these homology rings more difficult to compute. Especially for G compact Lie, little was previously known calculationally. I will discuss our recent computation of the "good wedge" of the S^1-equivariant ordinary homology of a point, with coefficients in the Burnside Mackey functor, as well as the "odd good wedge" of SU(2)-equivariant Burnside ordinary homology. (Joint work with J. Knesel, I. Kriz and P. Somberg)