Online Talk

Coherence of rings and modules has a long history in the subject, dating back at least to the late 1960s in a paper of Joel Cohen. It turns out the Steenrod algebra at a prime is coherent and this leads to useful  properties of its coherent modules. 

I will review the algebra, in particular focusing on P-algebras such as  the Steenrod algebra. Then I will discuss some ideas related to work of Mahowald and Rezk on f.p. spectra, making use of another piece of Hopf algebra theory, that of relative Hopf modules. 

If there is time I will discuss some questions about  coherence of the Landweber-Novikov algebra.