Toward a Galois theory of the integers over the sphere spectrum
| Autor: | Jonathan Beardsley, Jack Morava |
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| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Functor Topological quantum field theory 010102 general mathematics Galois theory Braid group General Physics and Astronomy Field with one element 55-06 55-02 55P43 01 natural sciences Spectrum (topology) Mathematics::Algebraic Topology Interpretation (model theory) Mathematics::K-Theory and Homology Mathematics::Category Theory 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematical Physics Mathematics Descent (mathematics) |
| DOI: | 10.48550/arxiv.1710.05992 |
| Popis: | 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. Comment: Exposition further clarified thanks to referee comments, typos corrected |
| Databáze: | OpenAIRE |
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