Christian d'Elbée (University of the Basque Country) – A few cases of Wilson's conjecture

The Wilson conjecture asks whether any locally nilpotent omega-categorical $p$-groups are nilpotent. In this talk, I will present solutions to a few cases (e.g. 4-Engel 5-groups, or groups of exponent 4), which use methods at the intersection of group theory, model theory and computer algebra.