Growth of Hecke Fields Along a p-Adic Analytic Family of Modular Forms

DOI10.1007/978-3-319-41424-9_4zbMath1408.11039OpenAlexW2521581183MaRDI QIDQ2956129

Haruzo Hida

Publication date: 16 January 2017

Published in: Families of Automorphic Forms and the Trace Formula (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41424-9_4

zbMATH Keywords

Hecke operatorCM componentsHilbert modular Hecke eigenforms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) General binary quadratic forms (11E16)

Related Items (1)

Unlikely intersections on the \(p\)-adic formal ball

Cites Work

• Local indecomposability of Hilbert modular Galois representations
• \(p\)-adic \(L\)-functions for CM fields
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Motives for Hilbert modular forms
• Appendix to ``The Iwasawa conjecture for totally real fields by A.Wiles: Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces
• Crystalline Dieudonné module theory via formal and rigid geometry
• On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields
• Anticyclotomic main conjectures
• Irreducibility of automorphic Galois representations of \(\mathrm{GL}(n)\), \(n\) at most \(5\)
• Transcendence of Hecke operators in the big Hecke algebra
• Isogeny classes of abelian varieties over finite fields
• On canonical models of arithmetic quotients of bounded symmetric domains
• Hecke fields of analytic families of modular forms
• Points on Some Shimura Varieties Over Finite Fields
• Néron Models
• On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields
• Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$
• On fields of rationality for automorphic representations
• Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• Galois representations modulo p and cohomology of Hilbert modular varieties
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