Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on a conjecture of Buzzard-Gee and the cohomology of Shimura
  varieties   We compare the conjecture of Buzzard-Gee on the association of Galois
representations to C-algebraic automorphic representations with the conjectural
description of the cohomology of Shimura varieties due to Kottwitz, and the
reciprocity law at infinity due to Arthur. This is done by extending
Langlands's representation of the L-group associated with a Shimura datum to a
representation of the C-group of Buzzard-Gee. The approach offers an
explanation of the explicit Tate twist appearing in Kottwitz's description.

5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th