The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The pre-school topics are on: K-stability, minimal model program and positivity in algebraic geometry. The advanced topic lectures are on: boundedness of Fano varieties, stability theory for singularities and asymptotic invariants. The participants will be algebraic geometers across the country, especially young researchers like graduate students, post-docs and junior faculties.