The Fontaine-Mazur conjecture in the residually reducible case (Q5096123)

scientific article; zbMATH DE number 7571575

Language	Label	Description	Also known as
English	The Fontaine-Mazur conjecture in the residually reducible case	scientific article; zbMATH DE number 7571575

Statements

instance of

scholarly article

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title

The Fontaine-Mazur conjecture in the residually reducible case (English)

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author

Lue Pan

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published in

Journal of the American Mathematical Society

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publication date

15 August 2022

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full work available at URL

https://arxiv.org/abs/1901.07166

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zbMATH Keywords

Fontaine-Mazur conjecture

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$p$-adic local Langlands correspondence

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Galois representations

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pseudo-representations

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local-global compatibility

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Galois deformation ring

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Hecke algebra

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Hida family

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MaRDI profile type

MaRDI publication profile

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cites work

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Patching and the $p$-adic local Langlands correspondence

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Automorphy for some $l$-adic lifts of automorphic mod $l$ Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Modularity lifting theorems for ordinary Galois representations

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The Breuil-Mezard conjecture for non-scalar split residual representations

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Overconvergent modular forms and the Fontaine-Mazur conjecture

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

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Moduli of finite flat group schemes, and modularity

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Serre's modularity conjecture. I

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Serre's modularity conjecture. II

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On the values of zeta and L-functions. I

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Zariskian filtrations

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Identifiers

zbMATH Open document ID

1502.11062

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DOI

10.1090/jams/991

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5096123