English

The Devinatz-Hopkins Theorem via Algebraic Geometry

Algebraic Geometry 2023-10-04 v1 Algebraic Topology

Abstract

In this note, we show how a continuous action of the Morava stabilizer group Gn\mathbb G_n on the Lubin-Tate spectrum EnE_n, satisfying the conclusion EnhGnLK(n)SE_n^{h\mathbb G_n}\simeq L_{K(n)} S of the Devinatz-Hopkins Theorem, may be obtained by monodromy on the stack of oriented deformations of formal groups in the context of formal spectral algebraic geometry.

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Cite

@article{arxiv.2103.07436,
  title  = {The Devinatz-Hopkins Theorem via Algebraic Geometry},
  author = {Rok Gregoric},
  journal= {arXiv preprint arXiv:2103.07436},
  year   = {2023}
}

Comments

17 pages

R2 v1 2026-06-24T00:04:45.344Z