Fonctions d'une variable $p$-adique et représentations de ${\rm GL}_2(\mathbf{Q}_p)$
Abstract
We extend the dictionary between Fontaine rings and $p$-adic functionnal analysis, and we give a refinement of the $p$-adic local Langlands correspondence for principal series representations of ${\rm GL}_2(\mathbf{Q}_p)$.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2023
- DOI:
- 10.48550/arXiv.2311.15457
- arXiv:
- arXiv:2311.15457
- Bibcode:
- 2023arXiv231115457C
- Keywords:
-
- Mathematics - Number Theory
- E-Print:
- 20 pages, in French language, accepted by JNT