Hilbert modular forms and p-adic Hodge theory

Details Hilbert modular forms and p-adic Hodge theory Hilbert modular forms and p-adic Hodge theory

2006-12-04

arxiv.org/abs/math/0612077v2

Compositio Mathematica (2009), 145 : 1081-1113

Mathematics

Number Theory

45 pages: page size adjusted

Scientific paper

10.1112/S0010437X09004175

We consider the p-adic Galois representation associated to a Hilbert modular
form. We show the compatibility with the local Langlands correspondence at a
place divising p under a certain assumption. We also prove the monodromy-weight
conjecture. The prime-to-p case is established by Carayol.

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