Serre's conjecture and base change for \(\text{GL}(2)\)

DOI10.4310/PAMQ.2009.v5.n1.a3zbMath1252.11089OpenAlexW2322763868WikidataQ123230800 ScholiaQ123230800MaRDI QIDQ1011932

Haruzo Hida

Publication date: 14 April 2009

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2009.v5.n1.a3

zbMATH Keywords

Hecke algebrapermutation representationbase-changeSerre's mod p modularity conjecture

Mathematics Subject Classification ID

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) Langlands-Weil conjectures, nonabelian class field theory (11R39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (2)

Langlands base change for \(\mathrm{GL}(2)\) ⋮ Non-abelian \(p\)-adic \(L\)-functions and Eisenstein series of unitary groups -- the CM method

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