The goal is to give a description of H.J.Baues' "secondary Steenrod algebra" in terms of formal group laws.
Status: whateverProblem: find a practical way to compute the Ext of the BP Hopf-algebroid.
Status: planningYacop is an experimental package for the Sage computer algebra system. It introduces a framework for graded modules over the Steenrod algebra and allows to compute Ext/Tor for such modules (if they are "small").
Status: planningMitchell and Smith have shown that there is an A-module structure on the sub Hopf algebras A(n). But how do you put an A-module structure on the minimal A(n)-free resolution?
Status: idleThere is a good conjecture what H*(BE8;F2) should be, and in previous work we have described a reasonably small resolution that is supposed to compute it. It would be nice if we could finally make these ends meet.
Status: idle