Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative deformation theory, relative Selmer groups, and lifting
  irreducible Galois representations   We study irreducible odd mod $p$ Galois representations $\bar{\rho} \colon
\mathrm{Gal}(\overline{F}/F) \to G(\overline{\mathbb{F}}_p)$, for $F$ a totally
real number field and $G$ a general reductive group. For $p \gg_{G, F} 0$, we
show that any $\bar{\rho}$ that lifts locally, and at places above $p$ to de
Rham and Hodge-Tate regular representations, has a geometric $p$-adic lift. We
also prove non-geometric lifting results without any oddness assumption.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph