Singularities of special Lagrangian fibrations and the SYZ Conjecture

The SYZ Conjecture explains Mirror Symmetry between Calabi-Yau 3-folds $M$, $\hat{M}$ in terms of special Lagrangian fibrations $f : M \rightarrow B$ and $\hat{f} : \hat{M} \rightarrow B$ over the same base $B$, whose fibres are dual 3-tori, except for singular fibres. This paper studies the singula...