Fonctions d'une variable $p$-adique et repr\'esentations de ${\rm GL}_2(\mathbf{Q}_p)$
Number Theory
2024-05-15 v2
Abstract
We extend the dictionary between Fontaine rings and -adic functionnal analysis, and we give a refinement of the -adic local Langlands correspondence for principal series representations of .
Cite
@article{arxiv.2311.15457,
title = {Fonctions d'une variable $p$-adique et repr\'esentations de ${\rm GL}_2(\mathbf{Q}_p)$},
author = {Pierre Colmez and Shanwen Wang},
journal= {arXiv preprint arXiv:2311.15457},
year = {2024}
}
Comments
20 pages, in French language, accepted by JNT