B. Hung

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20222025

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math.NT2025

Serre weight conjectures for $GSp_{4}$

Daniel Le, Bao V. Le Hung, Heejong Lee

We prove the weight part of Serre's conjecture for Galois representations valued in $GSp_{4}$ that are tamely ramified with explicit genericity at places above $p$ as conjec…

math.NT2024

$K_{1}$ -invariants in the mod $p$ cohomology of $U (3)$ arithmetic manifolds

Daniel Le, Bao Viet Le Hung, Stefano Morra

Let $F / F^{+}$ be a CM extension and $H_{/ F^{+}}$ a definite unitary group in three variables that splits over $F$ . We describe Hecke isotypic components of mod $p$ 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 $2$ -dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extensio…

math.NT2022

Serre weights, Galois deformation rings, and local models

Daniel Le, Bao Viet Le Hung

We survey some recent progress on generalizations of conjectures of Serre concerning the cohomology of arithmetic groups, focusing primarily on the "weight" aspect. This is intimat…

Serre weight conjectures for GSp4​

K1​-invariants in the mod p cohomology of U(3) arithmetic manifolds

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

Serre weights, Galois deformation rings, and local models

Serre weight conjectures for $GSp_{4}$

$K_{1}$ -invariants in the mod $p$ cohomology of $U (3)$ arithmetic manifolds