Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the connected components of moduli spaces of finite flat models   We prove that the non-ordinary component is connected in the moduli spaces of
finite flat models of two-dimensional local Galois representations over finite
fields. This was conjectured by Kisin. As an application to global Galois
representations, we prove a theorem on the modularity comparing a deformation
ring and a Hecke ring.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom