Eisenstein congruences for split reductive groups

• Jonas Bergström ^[2] ; Neil Dummigan ^[1]
  1. [1] University of Sheffield

     University of Sheffield

     Reino Unido

     
  2. [2] Stockholms universite
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 3, 2016, págs. 1073-1115
• Idioma: inglés
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• Resumen

  • We present a general conjecture on congruences between Hecke eigenvalues of parabolically induced and cuspidal automorphic representations of split reductive groups, modulo divisors of critical values of certain L-functions. We examine the consequences in several special cases and use the Bloch–Kato conjecture to further motivate a belief in the congruences.