On classical weight one forms in Hida families

DOI10.5802/jtnb.816zbMath1271.11060OpenAlexW2334728992MaRDI QIDQ1940472

Mladen Dimitrov, Eknath P. Ghate

Publication date: 7 March 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2012__24_3_669_0/

zbMATH Keywords

Galois representationHecke algebraHida family\(\Lambda\)-adic cusp form

Mathematics Subject Classification ID

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

Related Items (15)

The universal ordinary deformation ring associated to a real quadratic field ⋮ Classical weight one forms in Hida families: Hilbert modular case ⋮ 𝑅=𝑇 theorems for weight one modular forms ⋮ Approximations of the balanced triple product \(p\)-adic \(L\)-function ⋮ Geometry of the eigencurve at CM points and trivial zeros of Katz \(p\)-adic \(L\)-functions ⋮ Maps to weight space in Hida families ⋮ Ramification of the Eigencurve at Classical RM Points ⋮ On the elliptic Stark conjecture at primes of multiplicative reduction ⋮ Les variétés de Hecke–Hilbert aux points classiques de poids parallèle 1 ⋮ Galois level and congruence ideal for -adic families of finite slope Siegel modular forms ⋮ A geometric view on Iwasawa theory ⋮ On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve ⋮ Locally indecomposable Galois representations with full residual image ⋮ On the eigencurve at classical weight 1 points ⋮ Geometry of the eigencurve at critical Eisenstein series of weight 2

Cites Work

• Unnamed Item
• Unnamed Item
• On the eigencurve at classical weight 1 points
• Variation of Iwasawa invariants in Hida families
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Companion forms and weight one forms
• On the image of \(\Lambda\)-adic Galois representations
• On the local behaviour of ordinary \(\Lambda\)-adic representations.
• Iwasawa modules attached to congruences of cusp forms
• Analytic continuation of overconvergent eigenforms
• Deformations of induced Galois representations

This page was built for publication: On classical weight one forms in Hida families