Accurate HT-geometric automrophic congruences
Résumé
We first explain how to separate the various contributions coming either from torsion
or from the distinct families of automorphic representations, to the modulo $l$ reduction
of the cohomology of Harris-Taylor perverse sheaves. We then deduce the
construction of accurate automorphic congruences for a similitude
group $G/\Qm$ with signature $(1,d-1)$.
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