Modularity lifting theorems for Galois representations of unitary type

作者：Guerberoff Lucio^*

来源：Compositio Mathematica, 2011, 147(4): 1022-1058.

DOI：10.1112/S0010437X10005154

• modularity
• Galois representations
• unitary groups

We prove modularity lifting theorems for l-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille condition at l. This extends the results of Clozel, Harris and Taylor, and the subsequent work by Taylor. 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 on stable base change and descent from unitary groups to GL(n).

• 出版日期2011-7