Patching and multiplicities of p-adic eigenforms - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Patching and multiplicities of p-adic eigenforms

Résumé

We prove the existence of non-classical $p$-adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in $3$ variables. These eigenforms are associated to Galois representations which are crystalline but very critical at $p$. We use patching techniques related to the trianguline variety of local Galois representations and its local model. The new input is a comparison of the coherent sheaves appearing in the patching process with coherent sheaves on the Grothendieck--Springer version of the Steinberg variety given by a functor constructed by Bezrukavnikov.
Fichier principal
Vignette du fichier
UndercoverMF.pdf (840.68 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04607508 , version 1 (10-06-2024)

Licence

Identifiants

Citer

Eugen Hellmann, Valentin Hernandez, Benjamin Schraen. Patching and multiplicities of p-adic eigenforms. 2024. ⟨hal-04607508⟩
17 Consultations
2 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More