Published on:

28 December 2023

Primary Category:

Algebraic Topology

Paper Authors:

A. Salch

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Constructs integral deformations of Morava stabilizer algebras

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Shows the Ravenel-May spectral sequence collapses at large primes

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Enables algorithmic computation of Morava stabilizer cohomology

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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.

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