F. Herzig

activity

20082026

most citedThe weight in a Serre-type conjecture for tame n-dimensional Galois representations

109 citations · 454 across the 24 of their papers we have counts for

collaborators

25 papers

math.NT2026

To be or not to be local

Christophe Breuil, Florian Herzig, Yongquan Hu +4

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . For a smooth representation $π$ of $GL_{2} (K)$ occurring in some Hecke eigenspace of the m…

math.NT2025

On the constituents of the mod $p$ cohomology of Shimura curves

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . When $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions…

math.NT2025

Finite length for unramified $GL_{2}$

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . If $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions,…

math.NT2023★ 2 cited

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic $GL_{3}$

Noriyuki Abe, Florian Herzig

We establish an optimal (topological) irreducibility criterion for $p$ -adic Banach principal series of $GL_{n} (F)$ , where $F / Q_{p}$ is finite and $n \leq 3$ . This is…

math.NT2023★ 2 cited

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic reductive groups

Noriyuki Abe, Florian Herzig

Suppose that $G$ is the group of $F$ -points of a connected reductive group over $F$ , where $F / Q_{p}$ is a finite extension. We study the (topological) irreducibility of prin…

math.NT2022

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $K$ a finite unramified extension of $Q_{p}$ and $F$ a finite extension of $F_{p}$ . Using perfectoid spaces we associate to any fi…

To be or not to be local

On the constituents of the mod p cohomology of Shimura curves

Finite length for unramified GL2​

On the irreducibility of p-adic Banach principal series of p-adic GL3​

On the irreducibility of p-adic Banach principal series of p-adic reductive groups

Multivariable (φ,OK×​)-modules and local-global compatibility

On the constituents of the mod $p$ cohomology of Shimura curves

Finite length for unramified $GL_{2}$

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic $GL_{3}$

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic reductive groups

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility