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Slopes of Modular Forms (Q2956127)

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Language	Label	Description	Also known as
English	Slopes of Modular Forms	scientific article

Statements

scholarly article

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Slopes of Modular Forms (English)

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Families of Automorphic Forms and the Trace Formula

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publication date

16 January 2017

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full work available at URL

https://arxiv.org/abs/1502.02518

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zbMATH Keywords

limiting distributions

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Gouvêa-Mazur conjecture

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weight space

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MaRDI profile type

MaRDI publication profile

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A counterexample to the Gouvêa-Mazur conjecture

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Slopes of overconvergent 2-adic modular forms

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Local constancy for the reduction mod <i>p</i> of 2-dimensional crystalline representations

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Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations

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Explicit reduction modulo <i>p</i> of certain 2-dimensional crystalline representations, II

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The 2-adic eigencurve at the boundary of weight space

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Construction of some families of 2-dimensional crystalline representations

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Even Galois representations and the Fontaine–Mazur conjecture. II

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On the semi-simplicity of the \(U_p\)-operator on modular forms

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Patching and the \(p\)-adic local Langlands correspondence

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Construction of automorphic Galois representations. II

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About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations

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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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\(p\)-adic Banach spaces and families of modular forms

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The Taylor-Wiles construction and multiplicity one

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Automorphic lifts of prescribed types

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Families of Modular Eigenforms

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On the rigid cohomology of certain Shimura varieties

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A family of Calabi-Yau varieties and potential automorphy

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On the slopes of the \(U_5\) operator acting on overconvergent modular forms

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

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Slopes of the <i>U</i><sub>7</sub> operator acting on a space of overconvergent modular forms

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On Serre's reciprocity conjecture for 2-dimensional mod \(p\) representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\)

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Explicit Calculations of Automorphic Forms for Definite Unitary Groups

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The eigencurve over the boundary of weight space

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Zariski density of crystalline representations for any p-adic field

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On the Breuil-Mézard conjecture

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The 3-adic eigencurve at the boundary of weight space

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Modular forms and \(p\)-adic Hodge theory

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Automorphic Plancherel density theorem

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Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II

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Dimension variation of classical and \(p\)-adic modular forms

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Slopes of eigencurves over boundary disks

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-41424-9_2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2956127

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