2 problems

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Hill--Hopkins--Ravenel conjecture on the higher-height Morava module
Hill--Hopkins--Ravenel conjecture. There is a $\mathbb{W}[C_{p^k}]$ -module isomorphism
Conjectureopenmorava-theory representation-theory stable-homotopy-theoryarXiv posted 3 days ago
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Rognes's $K(1)$ -local red-shift conjecture for $ku$
Rognes's $K(1)$ -local red-shift conjecture. There is a weak equivalence
Conjectureopenalgebraic-k-theory chromatic-homotopy-theory morava-theoryarXiv posted 3 days ago

Hill--Hopkins--Ravenel conjecture on the higher-height Morava module