On the local behaviour of ordinary \(\Lambda\)-adic representations.

DOI10.5802/aif.2077zbMath1131.11341OpenAlexW2140445024MaRDI QIDQ1774093

Vinayak Vatsal, Eknath P. Ghate

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_7_2143_0

zbMATH Keywords

Galois representations\(p\)-adic familiesordinary primes\(\Lambda\)-adic forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Iwasawa theory (11R23)

Related Items (20)

Class groups and local indecomposability for non-CM forms ⋮ The universal ordinary deformation ring associated to a real quadratic field ⋮ Classical weight one forms in Hida families: Hilbert modular case ⋮ Vanishing Fourier coefficients of Hecke eigenforms ⋮ Dihedral universal deformations ⋮ On local Galois representations associated to ordinary Hilbert modular forms ⋮ On classical weight one forms in Hida families ⋮ On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ Classical forms of weight one in ordinary families ⋮ An analogy between representations of knot groups and Galois groups ⋮ Local indecomposability of Hilbert modular Galois representations ⋮ Functional equation for \(p\)-adic Rankin-Selberg \(L\)-functions ⋮ Deformations of locally abelian Galois representations and unramified extensions ⋮ Constancy of adjoint \(\mathcal L\)-invariant ⋮ Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication ⋮ Hecke fields of analytic families of modular forms ⋮ Filtered modules with coefficients ⋮ A geometric view on Iwasawa theory ⋮ Big Galois representations and -adic -functions ⋮ On Greenberg’s L-invariant of the symmetric sixth power of an ordinary cusp form

Cites Work

• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Galois representations, Kähler differentials and ``main conjectures
• Companion forms and weight one forms
• Iwasawa theory for Artin representations. I
• Iwasawa modules attached to congruences of cusp forms
• Analytic continuation of overconvergent eigenforms
• Modular Forms
• Classical and overconvergent modular forms
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