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arXiv · 2103.07436

The Devinatz-Hopkins Theorem via Algebraic Geometry

Rok Gregoric
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Abstract

In this note, we show how a continuous action of the Morava stabilizer group $\mathbb G_n$ on the Lubin-Tate spectrum $E_n$, satisfying the conclusion $E_n^{h\mathbb G_n}\simeq L_{K(n)} S$ 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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Rok Gregoric. 2021-03-12. The Devinatz-Hopkins Theorem via Algebraic Geometry. https://doi.org/10.2140/agt.2023.23.3015

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