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$\mathbb{E}_\infty$ automorphisms of motivic Morava $E$-theories

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arxiv 1901.05713 v1 pith:URQKCRIJ submitted 2019-01-17 math.KT math.AT

Aaron Mazel-Gee This is my paper · ORCID
classification math.KTmath.AT
keywords inftymathbbmoravamotivicadmitautomorphismstheoriesalways
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abstract

We apply Goerss--Hopkins obstruction theory for motivic spectra to study the motivic Morava $E$-theories. We find that they always admit $\mathbb{E}_\infty$ structures, but that these may admit "exotic" $\mathbb{E}_\infty$ automorphisms not coming from the usual Morava stabilizer group.

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Cited by 1 Pith paper

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  1. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0 of 10

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.

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