2021-12-06T03:41:01Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000399922021-03-02T02:40:30ZDeformations of Trianguline B-Pairs and Zariski Density of Two Dimensional Crystalline RepresentationsNakamura, Kentaro92415415p-adic Hodge theorytrianguline representationsB-pairsThe aims of this article are to study the deformation theory of trianguline B-pairs and to construct a p-adic family of two dimensional trianguline representations for any p-adic field. The deformation theory is the generalization of Bellaïche-Chenevier’s and Chenevier’s works in the Qp-case, where they used (ϕ, Γ)-modules over the Robba ring instead of using B-pairs. Generalizing and modifying Kisin’s theory of Xfs for any p-adic field, we construct a p-adic family of two dimensional trianguline representations. As an application of these theories, we prove a theorem concerning the Zariski density of two dimensional crystalline representations for any p-adic field, which is a generalization of Colmez’s and Kisin’s theorem for the Qp-case.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2014-02-19application/pdfJournal of mathematical sciences, the University of Tokyo420461568AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/39992/files/jms200401.pdfeng