Integral Hodge theory and congruences between modular forms
From MaRDI portal
Publication:1913364
DOI10.1215/S0012-7094-95-08017-XzbMath0851.11032MaRDI QIDQ1913364
Publication date: 25 November 1996
Published in: Duke Mathematical Journal (Search for Journal in Brave)
modular formscongruences between modular formsconstruction of fusion modulesintegral Hodge theorysymmetric power representations of a quaternion algebra
Congruences for modular and (p)-adic modular forms (11F33) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
Related Items
On the Birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields, Variation of Heegner points in Hida families, Selmer groups and central values of \(L\)-functions for modular forms, On Teitelbaum type \(\mathcal{L}\)-invariants of Hilbert modular forms attached to definite quaternions, Parametrizations of elliptic curves by Shimura curves and by classical modular curves, Poincaré duality isomorphisms in tensor categories, ON A PAIRING BETWEEN SYMMETRIC POWER MODULES, Dirac operators in tensor categories and the motive of quaternionic modular forms, Companion forms and the dual BGG complex for \(\mathrm{GSp}_4\), Degrees of parametrizations of elliptic curves by Shimura curves, Torsion homology growth and cycle complexity of arithmetic manifolds, Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné), The Ramanujan property for regular cubical complexes
Cites Work
- Local diophantine properties of Shimura curves
- On Galois representations associated to Hilbert modular forms
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
- Coverings of p-adic symmetric regions
- Modular curves and the Eisenstein ideal
- Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves
- Non-optimal levels of \(\text{mod }l\) modular representations
- On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
- Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
- Equivariant cohomology theories
- On zeta functions of quaternion algebras
- Spécialisation du foncteur de Picard
- Automorphic forms on GL (2)
- Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
- p-adic curvature and the cohomology of discrete subgroups of p-adic groups
- Zur Zahlentheorie der Quaternionen
- Harmonic functions and boundary value problems on a chain complex
- Zur Zahlentheorie der Quaternionen-Algebren.
- Conjecture “Epsilon” for weight 𝑘>2
- Formes modulaires de poids $1$
- Automorphic Forms on Adele Groups. (AM-83)
- The basis problem for modular forms on Γ₀(𝑁)
- Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item