On the KU_G-local equivariant sphere

Contact: Barthel, Ozornova, Ray, Teichner.

Equivariant complex K-theory and the equivariant sphere spectrum are two of the most fundamental equivariant spectra. In this talk, I will explain how to calculate the zeroth homotopy Green functor of the localization of the equivariant sphere spectrum with respect to equivariant complex K-theory, where the group of equivariance is a finite p-group and p is an odd prime.