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math.NT2013★ 13 cited
The p-adic local Langlands correspondence for GL_2(Q_p)
Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas
The p-adic local Langlands correspondence for GL_2(Q_p) is given by an exact functor from unitary Banach representations of GL_2(Q_p) to representations of the absolute Galois grou…
math.NT2013
Irreducible components of deformation spaces: wild 2-adic exercises
Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas
We prove that the irreducible components of the space of framed deformations of the trivial 2-dimensional mod 2 representation of the absolute Galois group of Q_2 are in natural bi…