In the Hill-Hopkins-Ravenel solution of Kervaire invariant one problem, they give an analysis of norms of MR, the C_2-equivariant version of MU. They show that these spectra’s slices are suspensions of HZ, the Eilenberg-Mac Lane spcetrum of constant Mackey functor. Specially, their 0-th homotopy and slice are the constant Mackey functor. In this talk, we will compute RO(G)-graded homotopy of HZ, and talk about computation in homological algebra of Z-modules. These are the ingredients of computation of RO(G)-graded slice spectral sequences.

There will also be a pretalk at 2 p.m. in the same room.