Mori's Program

Mori's Program is a framework in algebraic geometry aimed at classifying complex geometric shapes called algebraic varieties. It involves simplifying these shapes through specific transformations to reach a "minimal model," which is easier to study, or to identify special structures called Mori fiber spaces. The process uses tools from the Minimal Model Program (MMP) to systematically analyze and modify the shapes, helping mathematicians understand their fundamental features and relationships. Overall, Mori's Program provides a pathway to organize and classify complex varieties in a coherent, step-by-step way.