Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kernel Unipotent Conjecture and the vanishing of Massey products for
  odd rigid fields   A major difficult problem in Galois theory is the characterization of
profinite groups which are realizable as absolute Galois groups of fields.
Recently the Kernel $n$-Unipotent Conjecture and the Vanishing $n$-Massey
Conjecture for $n\geq 3$ were formulated. These conjectures evolved in the last
forty years as a byproduct of the application of topological methods to Galois
cohomology. We show that both of these conjectures are true for odd rigid
fields. This is the first case of a significant family of fields where both of
the conjectures are verified besides fields whose Galois groups of $p$-maximal
extensions are free pro-$p$-groups. We also prove the Kernel Unipotent
Conjecture for Demushkin groups of rank 2, and establish a number of further
related results.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int