(joint work with Ehud Hrushovski and Pierre Simon) Using the model theory of algebraically closed valued fields, Hrushovski and Loeser have obtained topological tameness properties for the Berkovich analytification $V^{an}$ of an algebraic variety $V$ defined over a valued field, under very general assumptions. They do the main work in the stable completion of $V$, a model-theoretic avatar of $V^{an}$. Given an abelian variety $A$ defined over an algebraically closed valued field, we will present the construction of a definable equivariant strong deformation retraction of the stable completion of $A$ onto its skeleton, which is a piecewise linear group.