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math.NT2015★ 2 cited
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…
math.NT2015★ 1 cited
Lattices in the cohomology of arithmetic manifolds
Daniel Le
Under hypotheses required for the Taylor-Wiles method, we prove for forms of which are compact at infinity that the lattice structure on upper alcove algebraic vectors or on…