L-invariants and p-adic Langlands programme

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户:sunping521
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  By Fontaines theory,a semi-stable non-crystalline Galois representation can be explicitly determined by the associated Weil-Deligne representation,its Hodge-Tate weights,and the associated Fontaine-Mazur L-invariants.These L-invariants,however,are invisible in the classical local Langlands correspondence.In this talk,we will consider the 2-dimensional case,and explain how to find these L-invariants in the completed cohomology group of Shimura curves.
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