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math.NT2016★ 11 cited
Multiplicity one at full congruence level
Daniel Le, Stefano Morra, Benjamin Schraen
Let be a totally real field in which is unramified. Let be a modular Galois representation which sati…
math.NT2016★ 3 cited
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…
math.NT2016★ 20 cited
On mod p local-global compatibility for GL_3 in the ordinary case
Florian Herzig, Daniel Le, Stefano Morra
Suppose that F/F+ is a CM extension of number fields in which the prime p splits completely and every other prime is unramified. Fix a place w|p of F. Suppose that rbar : Gal(F-bar…