Talk 5: Evenness II.

Define even faithfully flat maps and evenly free maps and the connection between even freenees and even faithful flatness with even faithfully flat descent. Briefly introduce the Adams spectral sequence as a black box. Show that the unit map $\mathbb{S}\to\mathrm{MU}$ is evenly free and prove Novikov descent. Recover the even filtration of the sphere spectrum as the d\'{e}calage of the Adams-Novikov filtration.