Conjectures and results on modular representations of GL n (K) for a p-adic field K - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

Conjectures and results on modular representations of GL n (K) for a p-adic field K

Yongquan Hu
  • Fonction : Auteur
Stefano Morra
  • Fonction : Auteur
Benjamin Schraen

Résumé

Let p be a prime number and K a finite extension of Qp. We state conjectures on the smooth representations of GLn(K) that occur in spaces of mod p automorphic forms (for compact unitary groups). In particular, when K is unramified, we conjecture that they are of finite length and predict their internal structure (extensions, form of subquotients) from the structure of a certain algebraic representation of GLn. When n = 2 and K is unramified, we prove several cases of our conjectures, including new finite length results.
Fichier principal
Vignette du fichier
BHHMS2.pdf (1.33 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03286413 , version 1 (14-07-2021)

Identifiants

  • HAL Id : hal-03286413 , version 1

Citer

Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen. Conjectures and results on modular representations of GL n (K) for a p-adic field K. 2021. ⟨hal-03286413⟩
36 Consultations
32 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More