Modularity Lifting Theorems for Galois Representations of Unitary Type
نویسنده
چکیده
We prove modularity lifting theorems for l-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille type condition at l. This extends the results of Clozel, Harris and Taylor ([CHT08]), and the subsequent work by Taylor ([Tay08]). The proof uses the Taylor-Wiles method, as improved by Diamond, Fujiwara, Kisin and Taylor, applied to Hecke algebras of unitary groups, and results of Labesse ([Lab]) on stable base change and descent from unitary groups to GLn.
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