On the automorphic side of the K-theoretic Artin symbol

• Peter Arndt ^[2] ; Oliver Braunling ^[1]
  1. [1] University of Freiburg

     University of Freiburg

     Stadtkreis Freiburg im Breisgau, Alemania

     
  2. [2] Universität Düsseldorf, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 3, 2019
• Idioma: inglés
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• Resumen

  • Clausen has constructed a homotopical enrichment of the Artin reciprocity symbol in class field theory. On the Galois side, Selmer K-homology replaces the abelianized Galois group, while on the automorphic side the K-theory of locally compact vector spaces replaces classical idelic objects. We supply proofs for some predictions of Clausen regarding the automorphic side.