Geodesic
The Devinatz–Hopkins theorem via algebraic geometry
Gregoric, Rok1
1 Department of Mathematics, The University of Texas at Austin, Austin, TX, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3015-3042

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.3015
Keywords: chromatic, spectral algebraic geometry, Morava stabilizer, Lubin–Tate

Gregoric, Rok 1

1 Department of Mathematics, The University of Texas at Austin, Austin, TX, United States 
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Gregoric, Rok. The Devinatz–Hopkins theorem via algebraic geometry. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3015-3042. doi: 10.2140/agt.2023.23.3015

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