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arXiv · 1011.3447

Trianguline representations

Laurent Berger
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Abstract

Trianguline representations are a certain class of p-adic representations of Gal(Qp^alg/Qp) like the crystalline, semistable and de Rham representations of Fontaine. Their definition involves the theory of (phi,Gamma)-modules. In this survey, we explain the theory of (phi,Gamma)-modules and the definition and properties of trianguline representations. After that, we give some examples of their occurrence in arithmetic geometry.

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Laurent Berger. 2011-04-07. Trianguline representations. https://doi.org/10.1112/blms%2Fbdr036

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