I'm Uttaran Dutta, a second-year PhD student at the University of South Carolina. I've organized this learning seminar on the Minimal Model Program, with support from Prof. Alexander Duncan and others. Our aim is to understand how the program works through numerous examples and explore proofs of the fundamental theorems via the new perspective on the theory, mainly due to Vladimir Lazić, Alessio Corti, and Paolo Cascini.
List of participants: Anirban Bhaduri, Bailey Heath, Patrick Lank, Shreya Sharma, Jonathan Smith, and Pankaj Singh.
Running time & location: Thursdays at 1 pm, Le Conte 440 at the University of South Carolina.
References: I) Lazarsfeld; Positivity in Algebraic Geometry I
II) Matsuki; Birational Geometry of Algebraic Varieties
III) Kollar-Mori; Introduction to the Mori Program
IV) Higher-dimensional Algebraic Geometry by Debarre
V) Higher-Dimensional Varieties by Debarre
VI) Lecture notes on Birational Geometry by Birkar
VII) Lecture notes by Hacon
VIII) Flips and flops by Hacon and McKernan
New outlook of MMP: I) Vladimir Lazić; Around and beyond the canonical class
II) Alessio Corti, Vladimir Lazić; New outlook on the Minimal Model Program, II
III) Alessio Corti, Vladimir Lazić; New outlook on the Minimal Model Program, I
IV) Cinzia Casagrande; Mori dream spaces and Fano varieties