On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras

DOI10.5802/jep.119zbMath1470.11305arXiv1809.06598OpenAlexW3010028011MaRDI QIDQ2305467

Vytautas Paškūnas, Matthew Emerton

Publication date: 11 March 2020

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06598

zbMATH Keywords

\(p\)-adic Hodge theory\(p\)-adic automorphic formsdeformation theory of Galois representations

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (10)

Multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) and \(\mod p\) representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\) ⋮ PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES ⋮ ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG ⋮ Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \) ⋮ On local Galois deformation rings ⋮ Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ On the automorphy of 2-dimensional potentially semistable deformation rings of \(G_{\mathbb{Q}_p}\) ⋮ Density of automorphic points in deformation rings of polarized global Galois representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Patching and the \(p\)-adic local Langlands correspondence
• The image of Colmez's Montreal functor
• A modular interpretation of the trianguline variety
• On intertwining operators for \(GL_ N(F)\), F a nonarchimedean local field
• Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
• Banach space representations and Iwasawa theory
• Gauss sums and p-adic division algebras
• The Hilbert-Kunz function
• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• Algebraic modular forms
• On the modularity of 2-adic potentially semi-stable deformation rings
• On the automorphy of 2-dimensional potentially semistable deformation rings of \(G_{\mathbb{Q}_p}\)
• Density of automorphic points in deformation rings of polarized global Galois representations
• On the Breuil-Mézard conjecture
• On some crystalline representations of \(\mathrm{GL}_2(\mathbb Q_p)\)
• Ring-theoretic properties of Iwasawa algebras: a survey.
• About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations
• Potential automorphy and change of weight
• On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
• The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• Completed cohomology – a survey
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties
• Zariski density of crystalline representations for any p-adic field
• The essentially tame local Langlands correspondence, I
• On the p-adic cohomology of the Lubin-Tate tower
• PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES
• Density of potentially crystalline representations of fixed weight
• A geometric perspective on the Breuil–Mézard conjecture
• Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations
• Unicity of types for supercuspidal representations of $ {\rm GL}_N$

This page was built for publication: On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras