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math.NT2022
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…
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…
math.NT2022★ 1 cited
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 .…