Towards A Modulo P Langlands Correspondence For Gl 2
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Towards a Modulo $p$ Langlands Correspondence for GL$_2$
Author: Christophe Breuil
language: en
Publisher: American Mathematical Soc.
Release Date: 2012-02-22
The authors construct new families of smooth admissible $\overline{\mathbb{F}}_p$-representations of $\mathrm{GL}_2(F)$, where $F$ is a finite extension of $\mathbb{Q}_p$. When $F$ is unramified, these representations have the $\mathrm{GL}_2({\mathcal O}_F)$-socle predicted by the recent generalizations of Serre's modularity conjecture. The authors' motivation is a hypothetical mod $p$ Langlands correspondence.
Towards a Modulo P Langlands Correspondence for GL2
We construct new families of smooth admissible F ̄p-representations of GL2(F), where F is a finite extension of Qp. When F is unramified, these representations have the GL2(OF)-socle predicted by the recent generalizations of Serre's modularity conjecture. Our motivation is a hypothetical mod p Langlands correspondence.