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