Reconstructing global fields from dynamics in the abelianized Galois group

Gunther Cornelissen; Xin Li; Matilde Marcolli; Harry Smit

doi:10.1007/s00029-019-0469-8

Reconstructing global fields from dynamics in the abelianized Galois group

Gunther Cornelissen^*, Xin Li, Matilde Marcolli, Harry Smit

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	24
Journal	Selecta Mathematica, New Series
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s00029-019-0469-8
Publication status	Published - 1 Jun 2019

Keywords

Anabelian geometry
Bost–Connes system
Class field theory
L-series
Neukirch–Uchida theorem

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Reconstructing global fields from dynamics in the abelianized Galois group

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Keywords

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