Abstract: Finding special Lagrangian submanifolds in Calabi-Yau manifolds has been an important problem in complex geometry and symplectic geometry. In this talk, I will discuss a new gluing construction of special Lagrangian submanifolds in K3-fibered Calabi-Yau 3-folds, where the Calabi-Yau metrics are collapsing. These special Lagrangians converge to 1-dimensional graphs in the base as the K3 fibers collapse. This is joint work with Yu-Shen Lin.