Galois representations, automorphic forms, and the Sato-Tate conjecture
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Publication:5963322
DOI10.1007/s13226-014-0085-4zbMath1365.11064OpenAlexW2090447240WikidataQ122914759 ScholiaQ122914759MaRDI QIDQ5963322
Publication date: 7 March 2016
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-014-0085-4
elliptic curveGalois representationSato-Tate conjectureautomorphic representationTaylor-Wiles method
Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (9)
On the Chebotarev-Sato-Tate phenomenon ⋮ On the number of dominating Fourier coefficients of two newforms ⋮ Comparing Hecke eigenvalues of Siegel eigenforms ⋮ Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ Distinguishing Hecke eigenforms ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ A variant of multiplicity one theorems for half-integral weight modular forms ⋮ The Sato-Tate conjecture and Nagao's conjecture ⋮ Comparing Hecke coefficients of automorphic representations
Cites Work
- Galois representations arising from some compact Shimura varieties
- Moduli of finite flat group schemes, and modularity
- A family of Calabi-Yau varieties and potential automorphy
- Automorphic realization of residual Galois representations
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
- Modular curves and the Eisenstein ideal
- The Taylor-Wiles construction and multiplicity one
- On the meromorphic continuation of degree two \(L\)-functions
- Construction of automorphic Galois representations. II
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Groupes de Picard et problèmes de Skolem. II
- Finding meaning in error terms
- Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications
- Construction de représentations $p$-adiques
- Iwasawa modules attached to congruences of cusp forms
- On Certain L-Functions
- REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR
- Rigid Local Systems. (AM-139)
- Potential automorphy for certain Galois representations to GL2n
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