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20232026
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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 m…

math.NT2025

On the constituents of the mod cohomology of Shimura curves

Christophe Breuil, Florian Herzig, Yongquan Hu +2

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

math.NT2025

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.NT2024

-invariants in the mod cohomology of arithmetic manifolds

Daniel Le, Bao Viet Le Hung, Stefano Morra

Let be a CM extension and a definite unitary group in three variables that splits over . We describe Hecke isotypic components of mod algebraic modular fo…

math.NT2023

Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Bao Viet Le Hung, Ariane Mézard, Stefano Morra

We develop a local model theory for moduli stacks of -dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extensio…

math.NT2023

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 $…