Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological properties of representations of p-adic groups related to
  geometry of the group at infinity   Geometry of buildings is used to prove some homological properties of the
category of smooth representations of a reductive p-adic group (Kazhdan's
"pairing conjecture", Bernstein's description of homological duality in terms
of Deligne-Lusztig duality). A different proof had been obtained a little
earlier by Schneider and Stuhler.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
16
The categories of this paper are: stat
3
The categories of this paper are: physics