Claudio Quadrelli
Candidates for maximal pro-p Galois groups

Every profinite group can be realized as the Galois group of a field extension, but very few can be realized as absolute Galois groups. In view of the proof of the Bloch-Kato conjecture, Galois cohomology can provide new tools to study absolute Galois groups, and to understand which profinite groups can not be realized as absolute Galois groups. We focus on obstructions on the maximal pro-p quotients of such groups.