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Towards a mod-p Lubin–Tate theory for GL2 over totally real fields - MaRDI portal

Towards a mod-p Lubin–Tate theory for GL2 over totally real fields (Q6186050)

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scientific article; zbMATH DE number 7785376

Language	Label	Description	Also known as
English	Towards a mod-p Lubin–Tate theory for GL2 over totally real fields	scientific article; zbMATH DE number 7785376

Statements

scholarly article

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Towards a mod-p Lubin–Tate theory for GL2 over totally real fields (English)

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Debargha Banerjee

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International Journal of Number Theory

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publication date

9 January 2024

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full work available at URL

https://arxiv.org/abs/2206.09706

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zbMATH Keywords

Galois representations

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completed cohomology

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Shimura curves

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MaRDI profile type

MaRDI publication profile

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Irreducible modular representations of GL\(_ 2\) of a local field

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Étale cohomology for non-Archimedean analytic spaces

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On the comparison theorem for étale cohomology of non-Archimedean analytic spaces

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Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \)

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Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂

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On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields

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Patching and the -adic Langlands program for

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Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

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On non-abelian Lubin–Tate theory for

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\(\ell\)-integral nonabelian Lubin-Tate theory

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

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The local Langlands correspondence for $GL_n$ in families

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On non-admissible irreducible modulo \(p\) representations of \(\text{GL}_2(\mathbb{Q}_{p^2})\)

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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On the modified mod \(p\) local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_{\ell})\)

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The spectral <i>p</i>-adic Jacquet–Langlands correspondence and a question of Serre

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An application of a theorem of Emerton to mod p representations of GL 2

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On the mod \(p\) cohomology for \(\mathrm{GL}_2\): the non-semisimple case

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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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Serre's modularity conjecture. I

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On some nonadmissible smooth irreducible representations for \(\mathrm{GL}_2\)

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Invariant elements for $p$-modular representations of ${\mathbf {GL}}_{2}({\mathbf {Q}}_p)$

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The image of Colmez's Montreal functor

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On the p-adic cohomology of the Lubin-Tate tower

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On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)

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Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1142/S179304212450009X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6186050

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