A local model for the trianguline variety and applications

DOI10.1007/s10240-019-00111-yzbMath1454.14120arXiv1702.02192OpenAlexW2969398969MaRDI QIDQ2335506

Benjamin Schraen, Eugen Hellmann, Christophe Breuil

Publication date: 14 November 2019

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02192

zbMATH Keywords

Galois representationssimultaneous resolution of singularitiesTaylor-Wiles hypothesisglobal Hecke eigenvarietiesHecke eigenvarietytrianguline variety

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Structure theory for Lie algebras and superalgebras (17B05) Lie algebras and Lie superalgebras (17B99) Group schemes (14L15) Linear algebraic groups and related topics (20G99)

Related Items (7)

Sur un problème de compatibilité local-global localement analytique ⋮ On the étale cohomology of Hilbert modular varieties with torsion coefficients ⋮ Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ The universal family of semistable \(p\)-adic Galois representations ⋮ Tangent spaces on the trianguline variety at companion points ⋮ Local models for Galois deformation rings and applications ⋮ Density of automorphic points in deformation rings of polarized global Galois representations

Cites Work

• Unnamed Item
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• Patching and the \(p\)-adic local Langlands correspondence
• Locally analytic socle. I.
• Critical \(p\)-adic \(L\)-functions
• Monodromy and local-global compatibility for \(l=p\)
• A 2-adic automorphy lifting theorem for unitary groups over CM fields
• A modular interpretation of the trianguline variety
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Triangulation of refined families
• Moduli of finite flat group schemes, and modularity
• Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs
• \({\mathfrak G}\)-module, Springer's representations and bivariant Chern classes
• Simple singularities and simple algebraic groups
• Kazhdan-Lusztig conjecture and holonomic systems
• On the desingularization of the unipotent variety
• Formal and rigid geometry. II: Flattening techniques
• Geometric construction of crystal bases
• Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• Singular loci of Schubert varieties
• \(p\)-adic representations and differential equations
• Smoothness of definite unitary eigenvarieties at critical points
• Towards the locally analytical socle for \(\mathrm{GL}_n\). II
• About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations
• Smoothness and classicality on eigenvarieties
• Companion points and locally analytic socle for \(\mathrm{GL}_2(L)\)
• Ordinary modular forms and companion points on the eigencurve
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Dimensions of some locally analytic representations
• The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
• Cohomology of arithmetic families of (𝜑,Γ)-modules
• On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne
• Classification of two-dimensional split trianguline representations ofp-adic fields
• Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties
• Induced representations of reductive ${\germ p}$-adic groups. I
• p-adic modular forms over unitary Shimura curves and local-global compatibility
• Affine braid group actions on derived categories of Springer resolutions
• Paraboline variation over -adic families of -modules
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• On the infinite fern of Galois representations of unitary type
• A geometric perspective on the Breuil–Mézard conjecture
• Potentially semi-stable deformation rings
• Jacquet modules of 𝑝-adic general linear groups
• Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations
• THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS
• On Jordan-Hölder series of some locally analytic representations
• Cohomology and Duality for (φ, Γ)-modules over the Robba Ring
• Functors of Artin Rings

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