A note on the $p$-adic Galois representations attached to Hilbert modular forms

By Chris M. Skinner. Documenta Mathematica, 2009

58 citations recorded by the source corpus.

We show that the p-adic Galois representations attached to Hilbert modular forms of motivic weight are potentially semistable at all places above p and are compatible with the local Langlands cor- respondence at these places, proving this for those forms not covered by the previous works of T. Saito and of D. Blasius and J. Rogawski.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3482861d5a215acdc9cfd4c2234c58304c45d979

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Citations in the corpus

Iwasawa Main Conjecture for Supersingular Elliptic Curves (2014, background): “Then for some L nite over Qp, there is a Galois representation (by [53], [39] and [55]): Rp(π) : GK → GLn(L) such that: (a)Rp(π) ' Rp(π) ⊗ ρp,χ1+c π 1−n, ρp,χ1+c π denotes the associated Galois character by class eld theory and is the cyclotomic character.”
Serre’s modularity conjecture (II) (2009, background): “The compatibility at all places follows from [7], [29],[30],[33].”