C. Breuil

works on

gl2 representations 1 iwahori filtration 1 mod p cohomology 1 principal congruence subgroup 1 shimura curves 1

From the 1 of 6 linked papers with an AI index.

activity

20242026

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

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

Splitting and making explicit the de Rham complex of the Drinfeld space

Christophe Breuil, Zicheng Qian

Let $p$ be a prime number, $K$ a finite extension of $Q_{p}$ and $n$ an integer $\geq 2$ . We completely and explicitly describe the global sections $I^c ◯^{∙}$ of the de Rh…

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.NT2025

Hodge filtration and crystalline representations of $GL_{n}$

Christophe Breuil, Yiwen Ding

Let $p$ be a prime number, $n$ an integer $\geq 2$ and $I ¨ $ an $n$ -dimensional automorphic $p$ -adic Galois representation (for a compact unitary group) such that $r:=Ï\vert_{\math…

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

To be or not to be local

Splitting and making explicit the de Rham complex of the Drinfeld space

Finite length for unramified GL2​

Hodge filtration and crystalline representations of GLn​

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

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

Finite length for unramified $GL_{2}$

Hodge filtration and crystalline representations of $GL_{n}$

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