Ihara's lemma and level rising in higher dimension
Résumé
A key ingredient in the Taylor-Wiles proof of Fermat last theorem is the classical Ihara's lemma
which is used to rise the modularity
property between some congruent galoisian representations. In their work on Sato-Tate,
Clozel-Harris-Taylor proposed a generalization of the Ihara's lemma in higher dimension
for some similitude groups. The main aim of this paper is then to prove some new instances
of this generalized Ihara's lemma by considering some particular non pseudo Eisenstein maximal
ideals of unramified Hecke algebras. As a consequence, we prove a level rising statement.
Origine | Fichiers produits par l'(les) auteur(s) |
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