Reconstructing global fields from dynamics in the abelianized Galois group

• Gunther Cornelissen ^[1] ; Xin Li ^[2] ; Matilde Marcolli ^[3] ; Harry Smit ^[1]
  1. [1] Utrecht University

     Utrecht University

     Países Bajos

     
  2. [2] Queen Mary University of London

     Queen Mary University of London

     Reino Unido

     
  3. [3] Mathematics Department, Pasadena, USA

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 2, 2019
• Idioma: inglés
• DOI: 10.1007/s00029-019-0469-8
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• Resumen

  • 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.