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Reconstructing global fields from dynamics in the abelianized Galois group

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Cornelissen2019_Article_ReconstructingGlobalFieldsFrom.... (346.97 KB)

Publication date

2019-06-01

Authors

Cornelissen, GuntherISNI 0000000387971274
Li, Xin
Marcolli, Matilde
Smit, HarryISNI 0000000493301792

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DOI

https://doi.org/10.1007/s00029-019-0469-8

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Article

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Abstract

We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that are equivalent to field isomorphism, relating it to anabelian geometry.

Keywords

Anabelian geometry, Bost–Connes system, Class field theory, L-series, Neukirch–Uchida theorem, General Mathematics, General Physics and Astronomy

Citation

Cornelissen, G, Li, X, Marcolli, M & Smit, H 2019, 'Reconstructing global fields from dynamics in the abelianized Galois group', Selecta Mathematica, New Series, vol. 25, no. 2, 24. https://doi.org/10.1007/s00029-019-0469-8

URI

http://hdl.handle.net/1874/386944