Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transfers of some Hecke elements for possibly ramified base change in
  GL_n   In this paper we prove an explicit matching theorem for some Hecke elements
in the case of (possibly ramified) cyclic base change for general linear groups
over local fields of characteristic zero with odd residue characteristic under
a mild assumption. A key observation, based on the works of Waldspurger and
Ganapathy-Varma, is to regard the base change lifts with twisted endoscopic
lifts and replace the condition for the matching orbital integrals with one for
semi-simple descend in the twisted space according to Waldspurger's fundamental
work "L'endoscopie tordue n'est pas si tordue".

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat