Ad­vanced Sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics"

WiSe 2024/2025

Location: D 2 314                    Time: 14:00 - 15:30

The seminar will take place regularly on wednesdays from October 9th, 2024.

Béranger Seguin (Pader­born), Nil­po­tent Artin-Schreier the­ory

Location: D2 314
Organizer: Prof. Dr. Jürgen Klüners

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.

Béranger Seguin (Pader­born), Nil­po­tent Artin-Schreier the­ory

Location: D2 314
Organizer: Prof. Dr. Jürgen Klüners

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.

Béranger Seguin (Pader­born), Nil­po­tent Artin-Schreier the­ory

Location: D2 314
Organizer: Prof. Dr. Jürgen Klüners

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.