${\mathbb{E}}_{\infty }$ 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 (11)

• Algebraic cobordism
• From algebraic cobordism to motivic cohomology
• Encoding Equivariant Commutativity via Operads
• Genuine equivariant operads
• Equivariant symmetric monoidal structures
• G-symmetric monoidal categories of modules over equivariant commutative ring spectra
• C-motivic modular forms
• Exotic Motivic Periodicities
• Motivic modular forms from equivariant stable homotopy theory
• The homotopy of C-motivic modular forms
• Goerss--Hopkins obstruction theory for $\infty$-categories

Cited by in corpus (1)

• Moduli stack of oriented formal groups and cellular motivic spectra over $\mathbf{C}$