Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergent Trajectories in Arithmetic Homogeneous Spaces of Rational Rank
  Two   Let $G$ be a real algebraic group defined over $\mathbb{Q}$, $\Gamma$ be an
arithmetic subgroup of $G$, and $T$ be a maximal $\mathbb{R}$-split torus. A
trajectory in $G/\Gamma$ is divergent if eventually it leaves every compact
subset. In some cases there is a finite collection of explicit algebraic data
which account for the divergence. If this is the case, the divergent trajectory
is called obvious. Given a closed cone in $T$, we study the existence of
non-obvious divergent trajectories under its action in $G/\Gamma$. We get a
sufficient condition for the existence of a non-obvious divergence trajectory
in the general case, and a full classification under the assumption that
$\mbox{rank}_{\mathbb{Q}}G=\mbox{rank}_{\mathbb{R}}G=2$.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex