works on

From the 1 of 7 linked papers with an AI index.

activity
20242026
collaborators

7 papers

math.NT2026

On the constituents of the mod 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 be a prime number and a finite unramified extension of . For a smooth representation of occurring in some Hecke eigenspace of the…

math.NT2026

Finite length for unramified

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let be a prime number and a finite unramified extension of . If is large enough with respect to and under mild genericity assumptions,…

math.NT2025

Gelfand-Kirillov dimension for mod representations of -adic unitary groups of rank 2

Karol Koziol, Stefano Morra

Let be a prime number and a CM extension of a totally real field such that every place of above is unramified and inert in . We fix a finite place of $…

math.RT2025

Generic decompositions of Deligne--Lusztig representations

Daniel Le, Bao V. Le Hung, Brandon Levin +1

Let be a reductive group over with simply connected derived subgroup, (geometrically) connected center and Coxeter number . We extend Jantzen's generic de…

math.NT2024

Extremal weights and a tameness criterion for mod Galois representations

Daniel Le, Bao Viet Le Hung, Brandon Levin +1

We study the weight part of Serre's conjecture for generic -dimensional mod Galois representations. We first generalize Herzig's conjecture to the case where the field is ra…