Trianguline representations

Details Trianguline representations Trianguline representations

2010-11-15

arxiv.org/abs/1011.3447v2

Mathematics

Number Theory

Survey. 22 pages

Scientific paper

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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