24 citations · 58 across the 14 of their papers we have counts for
14 papers
Resolutions of spaces of crystalline representations and modularity
Robin Bartlett, Bao V. Le Hung, Brandon Levin
We introduce a new partial resolution of crystalline spaces of Galois representations when the gaps in Hodge--Tate weights are smaller than , with no bound on ramification. Furt…
Gelfand--Kirillov dimension and mod cohomology for inner forms of
Andrea Dotto, Bao V. Le Hung
Under standard assumptions, we compute the GK-dimension of Hecke eigenspaces in the mod cohomology of an inner form of over a totally real field unra…
Cohomology of -adic Chevalley groups
Andrea Dotto, Bao V. Le Hung
Let be a split connected reductive group over the ring of integers of a finite unramified extension of . Under a standard assumption on the Coxeter number 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…
Colength one deformation rings
Daniel Le, Bao Le Hung, Stefano Morra +2
Let be a finite unramified extension, a continuous representa…
Serre weights for three-dimensional wildly ramified Galois representations
Daniel Le, Bao Viet Le Hung, Brandon Levin +1
We formulate and prove the weight part of Serre's conjecture for three-dimensional mod Galois representations under a genericity condition when the field is unramified at .…
Local models for Galois deformation rings and applications
Daniel Le, Bao V. Le Hung, Brandon Levin +1
We construct projective varieties in mixed characteristic whose singularities model, in generic cases, those of tamely potentially crystalline Galois deformation rings for unramifi…
Weight elimination in Serre-type conjectures
Daniel Le, Bao V. Le Hung, Brandon Levin
We prove the weight elimination direction of the Serre weight conjectures as formulated by Herzig for forms of which are compact at infinity and split at places dividing …
Serre weights and Breuil's lattice conjecture in dimension three
Daniel Le, Bao V. Le Hung, Brandon Levin +1
We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a -arithmetic manifold is purely local, i.e., only depends on the Galois…
Potentially crystalline deformation rings and Serre weight conjectures
Daniel Le, Bao V. Le Hung, Brandon Levin +1
We prove the weight part of Serre's conjecture in generic situations for forms of which are compact at infinity and split at places dividing as conjectured by Herzig. We…
Level raising mod 2 and arbitrary 2-Selmer ranks
Bao V. Le Hung, Chao Li
We prove a level raising mod theorem for elliptic curves over . It generalizes theorems of Ribet and Diamond-Taylor and also explains different sign phenomena…
On the image of complex conjugation in certain Galois representations
Ana Caraiani, Bao V. Le Hung
We compute the image of any choice of complex conjugation on the Galois representations associated to regular algebraic cuspidal automorphic representations and to torsion classes…
Elliptic Curves over Real Quadratic Fields are Modular
Nuno Freitas, Bao V. Le Hung, Samir Siksek
We prove that all elliptic curves defined over real quadratic fields are modular.
Modularity of some elliptic curves over totally real fields
Bao V. Le Hung
We investigate modularity of elliptic curves over a general totally real number field, establishing a finiteness result for the set non-modular -invariants. By analyzing quadrat…