Location: D 2 314 Time: 14:00 - 15:30
The seminar will take place regularly on wednesdays from April 22th, 2026.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.