We give a new construction of $(\varphi,\hat G) $-modules using the theory of prisms
developed by Bhatt and Scholze. As an application, we give a new proof about the …

This article is a continuation of our previous work on the Iwasawa theory of an elliptic
modular form over an imaginary quadratic field, where the modular form in question was …

We construct an explicit sequence of crystalline representations converging to a given
irreducible two-dimensional semi-stable representation of $\mathrm {Gal}({\overline …

Let p be an odd prime and let E be an elliptic curve defined over a number field F with good
reduction at the primes above p. In this survey article, we give an overview of some of the …

Let $ p $ be a fixed odd prime and let $ K $ be an imaginary quadratic field in which $ p $
splits. Let $ A $ be an abelian variety defined over $ K $ with supersingular reduction at both …

Let K be a discrete valuation field with perfect residue field, we study the functor from weakly
admissible filtered (φ, N, GK)-modules over K to the isogeny category of Breuil-Kisin …

The aim of this thesis is to study finite height crystalline representations in relative p-adic
Hodge theory, and apply the results thus obtained towards the computation of continuous …