F. Herzig

works on

principal series 2 banach representations 1 gl2 representations 1 gl_3 1 irreducibility 1 irreducibility criteria 1 iwahori filtration 1 local fields 1 locally analytic representations 1 mod p cohomology 1 p-adic Banach representations 1 p-adic groups 1

From the 3 of 6 linked papers with an AI index.

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

2 citations · 4 across the 4 of their papers we have counts for

collaborators

6 papers

math.NT2026

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

Christophe Breuil, Florian Herzig, Yongquan Hu +2

The paper studies the structure of smooth admissible representations of GL₂ over an unramified p‑adic field that appear in the mod p cohomology of Shimura curves, giving detailed d…

math.NT2026★ 2 cited

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

Noriyuki Abe, Florian Herzig

The paper proves a precise topological irreducibility condition for p‑adic Banach principal series representations of GLₙ(F) when n ≤ 3, confirming a refined form of Schneider’s co…

math.NT2026★ 2 cited

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

Noriyuki Abe, Florian Herzig

The paper investigates when principal series representations of p‑adic reductive groups on Banach spaces are topologically irreducible, providing optimal criteria for unitary induc…

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 $I ¨ $ of $GL_{2} (K)$ occurring in some Hecke eigenspace of the…

math.NT2026

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.NT2024

Multivariable ( $I ¨ $ , $O_{K}^{\times}$ )-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…

On the constituents of the mod p cohomology of Shimura curves

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

To be or not to be local

Finite length for unramified GL2​

Multivariable (I¨,OK×​)-modules and local-global compatibility

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

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

Finite length for unramified $GL_{2}$

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