A local analogue of the ghost conjecture of Bergdall-Pollack (Q6122846)

scientific article; zbMATH DE number 7812097

Language	Label	Description	Also known as
English	A local analogue of the ghost conjecture of Bergdall-Pollack	scientific article; zbMATH DE number 7812097

Statements

instance of

scholarly article

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title

A local analogue of the ghost conjecture of Bergdall-Pollack (English)

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published in

Peking Mathematical Journal

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publication date

1 March 2024

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full work available at URL

https://arxiv.org/abs/2206.15372

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zbMATH Keywords

eigencurves

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slope of $U_p$ operators

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overconvergent modular forms

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completed cohomology

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weight space

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Gouvêa's conjecture

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Gouvêa-Mazur conjecture

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MaRDI profile type

MaRDI publication profile

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cites work

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Upper bounds for constant slope $p$-adic families of modular forms

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Reductions of Some Two-Dimensional Crystalline Representations via Kisin Modules

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Slopes of Modular Forms and the Ghost Conjecture

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Slopes of modular forms and the ghost conjecture, II

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Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture

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Construction of some families of 2-dimensional crystalline representations

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Reductions of Galois representations for slopes in $(1,2)$

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Reductions of Galois representations of slope 1

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SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II

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A counterexample to the Gouvêa-Mazur conjecture

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Explicit reduction modulo p of certain 2-dimensional crystalline representations, II

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Slopes of Modular Forms

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The 2-adic eigencurve at the boundary of weight space

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Completed cohomology – a survey

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Patching and the $p$-adic local Langlands correspondence

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Q4249385

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Q3579564

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Newton slopes for Artin-Schreier-Witt towers

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On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms

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Q3579581

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A geometric perspective on the Breuil–Mézard conjecture

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Construction de représentations $p$-adiques

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Reductions of Galois representations via the mod $p$ local Langlands correspondence

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PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES

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THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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Q2764525

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Families of Modular Eigenforms

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Q3579590

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On the slopes of the $U_5$ operator acting on overconvergent modular forms

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Slopes of the U7 operator acting on a space of overconvergent modular forms

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

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$p$-adic analytic groups

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The eigencurve over the boundary of weight space

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Spectral Expansions of Overconvergent Modular Functions

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Overconvergent algebraic automorphic forms

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Completed cohomology of Shimura curves and a $p$-adic Jacquet-Langlands correspondence

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Q3167683

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The image of Colmez's Montreal functor

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On the Breuil-Mézard conjecture

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Overconvergent modular forms

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Reduction mod $p$ of cuspidal representations of $\text{GL}_2(\mathbb F_{p^n})$ and symmetric powers.

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The 3-adic eigencurve at the boundary of weight space

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Banach space representations and Iwasawa theory

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Dimension variation of classical and $p$-adic modular forms

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Identifiers

arXiv ID

2206.15372

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Mathematics Subject Classification ID

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10.1007/S42543-023-00063-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6122846