Abstract: This is the first of three lectures about Strominger-Yau-Zaslow and topological mirror symmetries for parabolic Hitchin systems. In this talk, we will explain the significance of nilpotent orbit closures in parabolic Hitchin systems, i.e., the classical level. Furthermore, we establish a new perspective of Springer duality for special nilpotent orbits of types B and C. This is based on the joint work with B.Wang and X. Wen (arXiv:2403.07552).