28 December 2023
Constructs integral deformations of Morava stabilizer algebras
Shows the Ravenel-May spectral sequence collapses at large primes
Enables algorithmic computation of Morava stabilizer cohomology
Has applications to chromatic homotopy theory
Ravenel's spectral sequence for Morava stabilizer groups collapses at large primes
This paper proves that for any fixed height n, the Ravenel-May spectral sequence relating the cohomology of a certain Lie algebra to the cohomology of the height n Morava stabilizer group scheme collapses with no differentials for all sufficiently large primes p. Consequently, the mod p cohomology of the height n Morava stabilizer group scheme can be computed algorithmically from the cohomology of a finite-dimensional Lie algebra.
No comments yet, be the first to start the conversation...
Sign up to comment on this paper