From $p$-modular to $p$-adic Langlands correspondences for $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$: deformations in the non-supercuspidal case

Fuente: arXiv
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Autori principali: Abdellatif, Ramla, David, Agnès, Romano, Beth, Wiersema, Hanneke
Natura: Preprint
Pubblicazione: 2020
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author Abdellatif, Ramla
David, Agnès
Romano, Beth
Wiersema, Hanneke
author_facet Abdellatif, Ramla
David, Agnès
Romano, Beth
Wiersema, Hanneke
contents This paper surveys what is known about (conjectural) $p$-adic and $p$-modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split unitary group $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$. It focuses in particular on the potential of deformation theory to relate these correspondences.
format Preprint
id arxiv_https___arxiv_org_abs_2009_03174
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle From $p$-modular to $p$-adic Langlands correspondences for $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$: deformations in the non-supercuspidal case
Abdellatif, Ramla
David, Agnès
Romano, Beth
Wiersema, Hanneke
Number Theory
11F70, 11F80 (Primary), 20G05, 22E50 (Secondary)
This paper surveys what is known about (conjectural) $p$-adic and $p$-modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split unitary group $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$. It focuses in particular on the potential of deformation theory to relate these correspondences.
title From $p$-modular to $p$-adic Langlands correspondences for $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$: deformations in the non-supercuspidal case
topic Number Theory
11F70, 11F80 (Primary), 20G05, 22E50 (Secondary)
url https://arxiv.org/abs/2009.03174