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Ravenel's spectral sequence for Morava stabilizer groups collapses at large primes

Published on:

28 December 2023

Primary Category:

Algebraic Topology

Paper Authors:

A. Salch

Bullets

Key Details

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

AI generated summary

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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