Béranger Seguin

activity

20242026

collaborators

5 papers

math.NT2026

Lifts of unramified twists and local-global principles

Fabian Gundlach, Béranger Seguin

We prove that two-step nilpotent $p$ -extensions of rational global function fields of characteristic $p$ satisfy a quantitative local-global principle when they are counted accordi…

math.GN2025

Flimsy Spaces

Robin Khanfir, Béranger Seguin

We study $n$ -flimsy spaces, which are the topological spaces that remain connected when removing fewer than $n$ points but become disconnected when removing exactly $n$ points. We…

math.AG2025

On matrices commuting with their Frobenius

Fabian Gundlach, Béranger Seguin

The Frobenius of a matrix $M$ with coefficients in $F ˉ_{p}$ is the matrix $σ (M)$ obtained by raising each coefficient to the $p$ -th power. We consider the question of co…

math.NT2025

Counting two-step nilpotent wildly ramified extensions of function fields

Fabian Gundlach, Béranger Seguin

We study the asymptotic distribution of wildly ramified extensions of function fields in characteristic $p > 2$ , focusing on (certain) $p$ -groups of nilpotency class at most $2$ . R…

math.AT2024

Counting Components of Hurwitz Spaces

Béranger Seguin

For a finite group $G$ , we obtain asymptotics for the number of connected components of Hurwitz spaces of marked $G$ -covers (of both the affine and projective lines) whose monodrom…