(1.3) The SYZ conjecture remains largely open, and is quite difficult even in basic cases; see for instance [GW00]. A fundamental insight of Kontsevich and Soibelman in [KS06] is that one should be able to construct a close analog of the SYZ fibration in the world of non-archimedean geometry, more precisely in the context of Berkovich spaces. Here, the base $S$ of the fibration arises as a so-called skeleton in the Berkovich analytification of the degeneration. Let us emphasize that the non-archimedean SYZ fibration is not merely an analog of the conjectural structure in a different context; it can effectively be used to realize the original goal of constructing mirror partners over the complex numbers, since one can go back from the non-archimedean world to the complex world by means of non-archimedean GAGA and algebraization techniques. In the non-archimedean approach, the quantum corrections are provided by non-archimedean enumerative geometry and wall-crossing structures [KS06, Yu16a, Yu16b, KY18]. The non-archimedean SYZ fibration induces an affine structure with singularities on the base $S$, and Kontsevich and Soibelman made the striking conjecture that this affine manifold should be related to the Gromov-Hausdorff limit of $\mathcal{X}$ (Conjecture 3 in [KS06]) – see [BJ17] for interesting results towards that conjecture.