Raising the level for

DOI10.1017/fms.2014.14zbMath1296.11034OpenAlexW2017246722MaRDI QIDQ2879429

Jack A. Thorne

Publication date: 1 September 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/fms.2014.14

zbMATH Keywords

Galois representationresidual representationlevel-raisingconjugate self-dual automorphic form

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (11)

The local Langlands correspondence in families and Ihara's lemma for \(U(n)\) ⋮ On the Chebotarev-Sato-Tate phenomenon ⋮ Level-raising for automorphic forms on 𝐺𝐿_{𝑛} ⋮ Automorphy of some residually dihedral Galois representations ⋮ A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF OF UNITARY TYPE ⋮ A p$p$‐adic approach to the existence of level‐raising congruences ⋮ The universal unramified module for \(\mathrm{GL}(n)\) and the Ihara conjecture ⋮ Symmetric power functoriality for holomorphic modular forms ⋮ Automorphy lifting for residually reducible 𝑙-adic Galois representations

Cites Work

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• Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties
• Level raising and symmetric power functoriality. II
• Supercuspidal part of the \(\mod l\) cohomology of \(\mathrm{GU}(1,n-1)\)-Shimura varieties
• Automorphic lifts of prescribed types
• Local-global compatibility and the action of monodromy on nearby cycles
• 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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Banal characteristic for reductive \(p\)-adic groups
• Some remarks on signs in functional equations
• Weight-monodromy conjecture for \(p\)-adically uniformized varieties
• Algebraic modular forms
• Modularity lifting theorems for ordinary Galois representations
• Potential automorphy and change of weight
• On extensions of generalized Steinberg representations
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• The Taylor–Wiles method for coherent cohomology
• Level-raising and symmetric power functoriality, I
• Compatibility of local and global Langlands correspondences
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Une caractérisation de la correspondance de Langlands locale pour ${\rm GL}(n)$
• WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
• Period Spaces for "p"-divisible Groups (AM-141)
• Modularity lifting theorems for Galois representations of unitary type
• Automorphy lifting for residually reducible 𝑙-adic Galois representations
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Augmentation du niveau pour U(3)

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