Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszul algebras and quadratic duals in Galois cohomology   We investigate the Galois cohomology of finitely generated maximal pro-$p$
quotients of absolute Galois groups. Assuming the well-known conjectural
description of these groups, we show that Galois cohomology has the PBW
property. Hence in particular it is a Koszul algebra. This answers positively a
conjecture by Positselski in this case. We also provide an analogous
unconditional result about Pythagorean fields. Moreover, we establish some
results that relate the quadratic dual of Galois cohomology with $p$-Zassenhaus
filtration on the group. This paper also contains a survey of Koszul property
in Galois cohomology and its relation with absolute Galois groups.

33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex