Schedule & notes

Weekly meetings

Week I: Itaka fibrations, Semiample, Big line bundles, etc. (Notes)
Reference: Lazarsfeld; Positivity in Algebraic Geometry I - Sections 2.1, 2.2.

Week II: Starting with the definition of discrepancies we will define singularities of a
normal Q-Cartier variety. A little bit about surface singularities and then we moved
on to define a pair and its singularities. (Notes)

Week III:  Overview of the  Cone and Contraction Theorems, with some consequences. We
saw different types of contractions and a few of their properties. (Notes)

Week IV:  More properties of contractions, and the notion of Flip. (Notes)

Week V: Examples. (Notes)

Week VI: We will start with the basic definitions of valuations and divisorial rings, and will                                                                                                                                   
see some consequences of the finite generation of such rings. (Speaker: Shreya Sharma, Notes)

Week VII: With a few more consequences of the finite generation we will move towards the
proofs of the fundamental theorems of MMP. (Speaker: Jonathan Smith, Notes)