EVENT DETAILS AND ABSTRACT

Title: The Regular Slice Spectral Sequence
Speaker: Jack Ullman
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

The slice spectral sequence is a tool in equivariant stable homotopy theory that was recently used to solve the Kervaire invariant problem. In this talk I will describe new results on the slice spectral sequence, or rather a better-behaved variant called the regular slice spectral sequence. These include positive answers to conjectures by Mike Hill on the slice towers of spectra that are concentrated over a normal subgroup and on the slice filtrations of Eilenberg MacLane spectra. I will also discuss Brown-Comenetz duality and how it leads to an algebraic formula for a large portion of the first page of the spectral sequence. Time permitting, I will apply these results to obtain real Bott periodicity and a special case of the Atiyah-Segal completion theorem. We will also be able to use a result similar to the Moss convergence theorem to compute some Toda brackets in KO_*.