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math.NT2022
Automorphic congruences between torsion cohomological classes
Boyer Pascal
For two representations of some local division algebra, congruent modulo , giving rise to two Harris-Taylor local systems on the corresponding Newton strata of the special fiber…
math.NT2019
Level lowering: a Mazur principle in higher dimension
Pascal Boyer
For a maximal ideal of some anemic Hecke algebra of a similitude group of signature , one can associate a Galois -re…
math.NT2017★ 1 cited
Torsion classes in the cohomology of KHT Shimura varieties
Pascal Boyer
A particular case of Bergeron-Venkatesh's conjecture predicts that torsion classes in the cohomology of Shimura varieties are rather rare. According to this and for Kottwitz-Harris…