Torsion p-adic Galois representations and a conjecture of Fontaine
The correspondence between Barsotti-Tate groups and Kisin modules when
Let be a finite extension over and the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over .
Quasi-semi-stable representations
Fix a -adic field and denote by its absolute Galois group. Let be the extension of obtained by adding -th roots of a fixed uniformizer, and its absolute Galois group. In this article, we define a class of -adic torsion representations of , called. We prove that these representations are “explicitly” described by a certain category of linear algebraic objects. The results of this note should be considered as a first step in the understanding of the structure of quotient of two lattices...
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