Equivariant stable homotopy groups are usually graded on the real representation ring. I will explain how we can grade them on the Picard group of $G$-spectra instead, and how this decreases the number of indices we have to keep track of dramatically. I will give some sample Picard group computations. Finally, I will explain how this makes the slice spectral sequence manageable for $G=C_p$, and give some sample slice spectral sequence computations. I will not assume knowledge of equivariant stable homotopy theory, Picard groups, or the slice spectral sequence.
Seminar Room 1.33, Hanna Neumann Building 145 - for up to 25 people.