scientific article; zbMATH DE number 1217569
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Publication:4214907
zbMath0942.11032MaRDI QIDQ4214907
Publication date: 8 May 2000
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\(p\)-adic representationsHecke algebrasemistableirreducible \(\text{mod }p\) Galois representations
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Modular forms of arbitrary even weight with no exceptional primes ⋮ Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties ⋮ An explicit open image theorem for products of elliptic curves ⋮ Minimal lifts of dihedral 2-dimensional Galois representations ⋮ A simplified proof of Serre's conjecture ⋮ Remarks on Serre's modularity conjecture ⋮ The level 1 weight 2 case of Serre's conjecture ⋮ Paramodular abelian varieties of odd conductor ⋮ Explicit large image theorems for modular forms ⋮ The arithmetic of QM-abelian surfaces through their Galois representations ⋮ Galois actions on \(Q\)-curves and winding quotients ⋮ On modular forms and the inverse Galois problem ⋮ Congruences between modular forms and lowering the level mod \(\ell^n\)
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