Finite length for unramified $\mathrm{GL}_2$
Résumé
Let p be a prime number and K a finite unramified extension of Qp. If p is large enough with respect to [K:Qp] and under mild genericity assumptions, we prove that the admissible smooth representations of GL_2(K) that occur in Hecke eigenspaces of the mod p cohomology are of finite length. We also prove many new structural results about these representations of GL}_2(K) and their subquotients.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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