  In this paper we summarize our recent work in the construction of Lagrangian
torus fibrations for Calabi-Yau hypersurfaces in toric varieties and the
symplectic Strominger-Yau-Zaslow conjecture, together with some new
development. It is submittded to the Proceedings of the Conference in
Symplectic Geometry and Mirror Symmetry held in KIAS, Seoul, Korea. The paper
was finished in Jan. 2001, with revisions and added reference.
