has anyone got a copy of the videos at math.jhu.edu/~wsw/HOPKINS-MORAVA? i can't seem to download them, and they don't seem to be on the dropbox either
Does anyone have an example of a dissonant spectrum (acyclic w.r.t. all morava k-theories) which is not in the category generated under colimits by $H\mathbb{F}_p$? Preferably it's something not completely horrendous.
Oh, when I say morava K theory I always mean finite height. So $H\mathbb{F}_p$ is not included of course. (otherwise this question doesn't make sense anyway...)
what about this? define X_n inductively by letting X_0 = sphere spectrum and letting X_n = cofiber of some v_{n-1}-self map of X_{n-1}. there are maps X_n -> X_{n+1}, and the hocolim is dissonant
@skd I could see this working but sorry if it's obvious but It's not completely clear to me that it's non-zero nor that it's not in the category generated by $H \mathbb{F}_p$.
It mean if its $H \mathbb{F}_p$ homology is trivial then it's zero because it's connective. If not then it could very possibly be generated by $\mathbb{H}F_p$.
Oh I see now. There are no maps into it from $H\mathbb{F}_p$ so it can't be in this category.
At least I think this is what you meant. I would very much appreciate an elaboration still
