Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactifications of S-arithmetic quotients for the projective general
  linear group   Let F be a global field, and let S be a finite set of places of F containing
all archimedean places. Consider the product X of the symmetric spaces and
Bruhat-Tits buildings for PGL_d of the completions of F at archimedean and
non-archimedean places in S, respectively. We construct compactifications of
the quotient of X by S-arithmetic subgroups of PGL_d(F). The constructions make
delicate use of reductive Borel-Serre spaces for archimedean places and
polyhedral and seminorm compactifications at nonarchimedean places. We also
briefly discuss a few potential applications of our compacifications.

34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int