Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modularity lifting theorems for Galois representations of unitary type   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, 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.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph