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

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.

References in corpus (4)

• Algebraic cobordism
• Equivariant symmetric monoidal structures
• Exotic Motivic Periodicities
• Goerss--Hopkins obstruction theory for $\infty$-categories