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Even Galois Representations and the Fontaine--Mazur conjecture II
Even Galois Representations Fontaine--Mazur conjecture II
2011/2/24
We prove, under mild hypotheses, that there are no irreducible two-dimensional po-tentially semi-stable even p-adic Galois representations of Gal(Q/Q) with distinct Hodge–Tate weights.
An effective isomorphy criterion for mod $\ell$ Galois representations
effective isomorphy criterion mod $\ell$ Galois representations
2010/12/15
In this paper, we consider mod ℓ Galois representations of Q. In particular, we obtain an effective criterion to distinguish two semisimple 2-dimensional, odd mod ℓ Galois representations ...