Title: Computations with p-adic numbers,
Abstract: This document contains the notes of a lecture I gave at the "Journées
Nationales du Calcul Formel" (JNCF) on January 2017. The aim of the lecture was
to discuss low-level algorithmics for p-adic numbers. It is divided into two
main parts: first, we present various implementations of p-adic numbers and
compare them and second, we introduce a general framework for studying
precision issues and apply it in several concrete situations.