$p$-adic local Langlands correspondence and weight shifting

DOI10.4171/JEMS/851zbMath1470.11304OpenAlexW2902905649MaRDI QIDQ1731782

Pierre Colmez

Publication date: 14 March 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/851

zbMATH Keywords

local Langlands correspondencelocally analytic representationKirillov modelDrinfeld upper half-planeBreuil-Strauch conjectureweight 1 modular form

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (4)

Locally analytic 𝐸𝑥𝑡¹ for 𝐺𝐿₂(ℚ_{𝕡}) in de Rham non-trianguline case ⋮ Correspondance de Langlands locale $p$-adique et anneaux de Kisin ⋮ Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1 ⋮ Représentations localement analytiques de 𝐺𝐿₂(𝐐_{𝐩}) et (𝜑,Γ)-modules

Cites Work

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• The Fontaine-Mazur conjecture for $ {GL}_2$
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