Deformations of Fano 3-folds with terminal singularities

Fano 3-folds with terminal singularities are important in the classification of algebraic varieties. Toward the classification of such Fano 3-folds, it is fundamental to study their deformations. In this talk, I will talk about the unobstructedness of deformations of such Fano 3-folds and the existence of their good deformations, that is, Q-smoothings.