Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beta-function of Bruhat--Tits buildings and deformation of $l_2$ on the
  space of lattices   For the space $Lat_n$ of all the lattices in a $p$-adic $n$-dimensional
linear space we obtain an analog of matrix beta-functions; this beta-function
has a degeneration to the Tamagawa zeta-function. We propose an analog of
Berezin kernels for $Lat_n$. We obtain conditions of positive definiteness of
these kernels and explicit Plancherel formula.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin