abstract: I'll talk about the enumerative geometry of curves on Calabi-Yau 3-folds X and the relationship to stable pairs in the derived category of X. The basic example for the lecture will be K3-fibered Calabi-Yau 3-folds. Connections will be made to the work of Kawai-Yoshioka on sheaves on K3 surfaces. I will explain our recent proof (with Klemm, Maulik, and Scheidegger) of the Yau-Zaslow conjecture for rational curve enumeration in all classes for K3 surfaces.