Trianguline representations

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.

Survey. 22 pages

References in corpus (2)

• Classification of two dimensional split trianguline representations of $p$-adic fields
• La correspondance de Langlands locale p-adique pour GL_2(Q_p)

Cited by in corpus (4)

• (ϕ,Γ)-modules over noncommutative overconvergent and Robba rings
• On triangulable tensor products of B-pairs and trianguline representations
• Galois level and congruence ideal for $p$-adic families of finite slope Siegel modular forms
• Trianguline lifts of global mod $p$ Galois representations