@AaronMazel-Gee The titles of the first two of those talks sound very similar to a talk I heard Jacob give once. Someone asked me about the talk when it was still fresh in my mind and this is the summary I emailed back:
Jacob didn't assume the audience knew about Morava K theory, so that took up the vast
majority of the time. He worked his way up to the statement of the
following theorem:
Theorem. Let X be p-finite (finitely many nonzero homotopy groups, each
of which is a finite p-group). Then:
Jacob didn't assume the audience knew about Morava K theory, so that took up the vast
majority of the time. He worked his way up to the statement of the
following theorem:
Theorem. Let X be p-finite (finitely many nonzero homotopy groups, each
of which is a finite p-group). Then:
Given a finite subgroup of $G$ sitting inside the Morava stabilizer group $S_n$, we can form the homotopy fixed point spectrum $E_n^{hG}$. There is a spectral sequence with $E_2^{s,t} = H^s(G;\pi_t(E_n)) \Rightarrow \pi_{t-s}(E_n^{hG})$.
For resolving further differentials in this spcetral sequ...
