English

Trianguline representations

Number Theory 2014-02-26 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1011.3447,
  title  = {Trianguline representations},
  author = {Laurent Berger},
  journal= {arXiv preprint arXiv:1011.3447},
  year   = {2014}
}

Comments

Survey. 22 pages

R2 v1 2026-06-21T16:44:02.080Z