Galois representations with quaternion multiplication associated to noncongruence modular forms
From MaRDI portal
Publication:2855926
DOI10.1090/S0002-9947-2013-06019-9zbMath1292.11058arXiv1005.4105MaRDI QIDQ2855926
A. O. L. Atkin, Tong Liu, Ling Long, Wen-Ch'ing Winnie Li
Publication date: 23 October 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.4105
Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)
Related Items (7)
A whipple \(_7F_6\) formula revisited ⋮ The unbounded denominators conjecture for the noncongruence subgroups of index 7 ⋮ On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type ⋮ Generalized Legendre curves and quaternionic multiplication ⋮ On $ℓ$-adic representations for a space of noncongruence cuspforms ⋮ Potentially 𝐺𝐿₂-type Galois representations associated to noncongruence modular forms ⋮ Supercongruences for rigid hypergeometric Calabi-Yau threefolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences
- On Atkin and Swinnerton-Dyer congruence relations. III
- Modularity of 2-adic Barsotti-Tate representations
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- Twists of modular forms and endomorphisms of abelian varieties
- Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
- Endomorphism algebras of motives attached to elliptic modular forms.
- Modularity of abelian surfaces with quaternionic multiplication
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Residually reducible representations and modular forms
- Nearly ordinary deformations of irreducible residual representations
- Vanishing cycles and non-classical parabolic cohomology
- On Serre's reciprocity conjecture for 2-dimensional mod \(p\) representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\)
- Potential automorphy and change of weight
- On Atkin and Swinnerton-Dyer congruence relations. II
- On Atkin--Swinnerton-Dyer congruence relations
- Representations induced in an invariant subgroup
- Fourier coefficients of noncongruence cuspforms
- The Fontaine-Mazur conjecture for $ {GL}_2$
- How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture
- Modular Forms on Noncongruence Subgroups and Atkin–Swinnerton-Dyer Relations
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- Formes modulaires de poids $1$
- On the Hecke Algebra of a Noncongruence Subgroup
- SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
- The Tamagawa number conjecture of adjoint motives of modular forms
- On $ℓ$-adic representations for a space of noncongruence cuspforms
- ON SOME $\ell$-ADIC REPRESENTATIONS OF $\mathop{\rm Gal}(\overline{/mathbb{Q}})$ ATTACHED TO NONCONGRUENCE SUBGROUPS
- Zum Einbettungsproblem.
This page was built for publication: Galois representations with quaternion multiplication associated to noncongruence modular forms
