In this paper we will survey some recent developments in the last decade or so on variation of Geometric Invariant Theory and its applications to Birational Geometry such as the weighted Weak Factorization Theorems of nonsingular projective varieties and more generally projective varieties with finite quotient singularities Along the way, we will also mention some progress on birational geometry of hyperKahler manifolds as well as certain open problems and conjectures.
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