Abstract
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We show how a continuous action of the Morava stabilizer group
on the Lubin–Tate
spectrum
, satisfying
the conclusion
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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Keywords
chromatic, spectral algebraic geometry, Morava stabilizer,
Lubin–Tate
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Mathematical Subject Classification
Primary: 14A30, 14D15, 55P43, 55T15
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Publication
Received: 25 March 2021
Revised: 23 January 2022
Accepted: 23 May 2022
Published: 26 September 2023
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