Introduction to Mori Theory and the Minimal Model Program

After introducing the concept of divisor and the generalities of Intersection Theory, we will see Mori’s Cone Theorem. This result will be the starting point of the Minimal Model Program (MMP), whose goal is to find a “simple” birational model of any projective variety. We will analyze in detail the MMP for surfaces, and then we will try to understand the strategy for bigger dimentional cases.