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The Devinatz–Hopkins theorem via algebraic geometry

Rok Gregoric

Algebraic & Geometric Topology 23 (2023) 3015–3042
Abstract

We show how a continuous action of the Morava stabilizer group 𝔾n on the Lubin–Tate spectrum En, satisfying the conclusion Enh𝔾n LK(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.

Keywords
chromatic, spectral algebraic geometry, Morava stabilizer, Lubin–Tate
Mathematical Subject Classification
Primary: 14A30, 14D15, 55P43, 55T15
References
Publication
Received: 25 March 2021
Revised: 23 January 2022
Accepted: 23 May 2022
Published: 26 September 2023
Authors
Rok Gregoric
Department of Mathematics
The University of Texas at Austin
Austin, TX
United States

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