Title: Nilpotent Artin-Schreier theory
Abstract: In this talk, we review techniques used for parametrizing extensions of fields of characteristic p, and we show how these techniques specialize to known theories (Artin-Schreier-Witt theory, ϕ-modules, ...).
We then review the Lazard correspondence, which relates p-groups of nilpotency class smaller than p with Lie algebras. By combining these two ingredients, we obtain an glimpse of Abrashkin's nilpotent Artin-Schreier theory.
All required facts concerning Lie algebras will be recalled.