Toward a Galois theory of the integers over the sphere spectrum

Jack Morava; Jonathan Beardsley

doi:10.1016/j.geomphys.2018.04.011

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arXiv · 1710.05992

Toward a Galois theory of the integers over the sphere spectrum

Jack Morava·Jonathan Beardsley

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Abstract

Recent work in higher algebra allows the reinterpretation of a classical description of the Eilenberg-MacLane spectrum $H\mathbb{Z}$ as a Thom spectrum, in terms of a kind of derived Galois theory. This essentially expository talk summarizes some of this work, and suggests an interpretation in terms of configuration spaces and monoidal functors on them, with some analogies to a topological field theory.

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BibTeX RIS

Jack Morava, Jonathan Beardsley. 2017-10-16. Toward a Galois theory of the integers over the sphere spectrum. https://doi.org/10.1016/j.geomphys.2018.04.011

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