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• W1666046618 abstract "To a homotopy (a presentable, symmetric monoidal stable $infty$-category), we naturally associate a category of finite etale algebra objects and, using Grothendieck's categorical machine, a profinite group that we call the Galois group. We then calculate the Galois groups in several examples. For instance, we show that the Galois group of the periodic $mathbf{E}_infty$-algebra of topological modular forms is trivial and that the Galois group of $K(n)$-local stable homotopy theory is an extended version of the Morava stabilizer group. We also describe the Galois group of the stable module category of a finite group. A fundamental idea throughout is the purely categorical notion of a descendable algebra object and an associated analog of faithfully flat descent in this context." @default.
• W1666046618 created "2016-06-24" @default.
• W1666046618 creator A5084432269 @default.
• W1666046618 date "2014-04-08" @default.
• W1666046618 modified "2023-09-27" @default.
• W1666046618 title "The Galois group of a stable homotopy theory" @default.
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• W1666046618 hasPublicationYear "2014" @default.
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