-INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP

DOI10.1017/fms.2016.9zbMath1376.11082arXiv1501.06901OpenAlexW2963798195MaRDI QIDQ5739908

Yi Wen Ding

Publication date: 6 July 2016

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

Full work available at URL: https://arxiv.org/abs/1501.06901

zbMATH Keywords

\(p\)-adic Hodge theory\(p\)-adic local Langlands correspondencelocally analytic representationlocal-global compatibilityHilbert modular formcompleted cohomology\(\mathcal{L}\)-invariant

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Langlands-Weil conjectures, nonabelian class field theory (11S37) (p)-adic cohomology, crystalline cohomology (14F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (5)

\protect \mathcal{L}-invariants, partially de Rham families, and local-global compatibility ⋮ Derivatives of Frobenius and derivatives of Hodge-Tate weights ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Anticyclotomic 𝑝-adic 𝐿-functions and the exceptional zero phenomenon ⋮ Simple ℒ-invariants for GL_{𝓃}

Cites Work

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• On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
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• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
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• Classification of two-dimensional split trianguline representations ofp-adic fields
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• Hilbert modular forms and p-adic Hodge theory
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• On the infinite fern of Galois representations of unitary type

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