Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modularity lifting theorems   Updated version of 2013 Arizona WInter School notes on modularity lifting
theorems for for two-dimensional p-adic representations, using wherever
possible arguments that go over to the n-dimensional (self-dual) case.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom