Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the formal degree conjecture for simple supercuspidal representations   We prove the formal degree conjecture for simple supercuspidal
representations of symplectic groups and quasi-split even special orthogonal
groups over a p-adic field, under the assumption that p is odd. The essential
part is to compute the Swan conductor of the exterior square of an irreducible
local Galois representation with Swan conductor 1. It is carried out by passing
to the equal characteristic local field and using the theory of Kloosterman
sheaves.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph