Some Remarks on Automorphy and the Sato-Tate Conjecture

DOI10.1007/978-1-4939-3201-6_7zbMath1397.11119OpenAlexW2411509857MaRDI QIDQ2808222

M. Ram Murty, V. Kumar Murty

Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-3201-6_7

zbMATH Keywords

elliptic curvesGalois representationSato-Tate conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (2)

Some Remarks on Automorphy and the Sato-Tate Conjecture ⋮ Overview of the Work of Kumar Murty

Cites Work

• Level raising and symmetric power functoriality. II
• A family of Calabi-Yau varieties and potential automorphy. II.
• Effective equidistribution of eigenvalues of Hecke operators
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• A remark on the Sato-Tate conjecture
• Some Remarks on Automorphy and the Sato-Tate Conjecture
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
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