  We survey the metric aspects of the Strominger-Yau-Zaslow conjecture on the
existence of special Lagrangian fibrations on Calabi-Yau manifolds near the
large complex structure limit. We will discuss the diverse motivations for the
conjectural picture, what the best hopes are, and a number of subtleties. The
bulk of the survey highlights the role of pluripotential theory, and
non-archimedean geometry in particular, with a list of open questions.
