Elizabeth Tatum: BP<2>-Cooperations and Brown–Gitler Spectra

Abstract

In the 1980's, Kane and Mahowald used Brown–Gitler spectra to construct spectrum-level splittings of the bo and BP<1>-cooperations algebras. These splittings helped make it feasible to do computations using the bo and BP<1>-Adams spectral sequences. In this talk, we will present an analogous splitting for the BP<2>-cooperations algebra.