Semi-simplified modulo p of semi-stable representations: an algorithmic approach

الأصل · EN

The aim of this paper is to present an algorithm the complexity of which is polynomial to compute the semi-simplified modulo p of a semi-stable ₚ-representation of the absolute Galois group of a p-adic field (i.e. a finite extension of ₚ). In order to do so, we use abundantly the p-adic Hodge theory and, in particular, the Breuil-Kisin modules theory.