Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Root Numbers and Spectrum of the Local Descents for Orthogonal
  Groups: p-adic case   We investigate the local descents for special orthogonal groups over p-adic
local fields of characteristic zero, and obtain an explicit spectral
decomposition of the local descents at the first occurrence index in terms of
the local Langlands data via the explicit local Langlands correspondence and
explicit calculations of relevant local root numbers. The main result can be
regarded as a refinement of the local Gan-Gross-Prasad conjecture.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin