https://rochester.zoom.us/j/6775967436

Two of the most fundamental genuine equivariant spectra are the equivariant sphere spectrum and equivariant complex K-theory. The zeroth homotopy groups of these spectra admit a purely combinatorial/geometric interpretation. In this talk, I will describe our efforts to leverage these interpretations in order to calculate the zeroth homotopy group of the localization of the equivariant sphere spectrum with respect to equivariant K-theory. This is a report on work in progress with Bonventre and Guillou.