Eisenstein congruences for split reductive groups |
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Authors: | Jonas Bergström Neil Dummigan |
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Affiliation: | 1.Matematiska institutionen,Stockholms universitet,Stockholm,Sweden;2.School of Mathematics and Statistics,University of Sheffield,Sheffield,UK |
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Abstract: | 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. |
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