These notes are about a learning seminar on the minimal model program at the University of Notre Dame in the Fall 2025 semester, organized by Emma Dooley and sponsored by Eric Riedl. The primary reference follows Matsuki's Introduction to the Mori Program. The notes are taken by Mattie Ji.
The schedule of the seminar is as follows:
| Date | Topic | Speaker |
|---|---|---|
| 09/05 | Introduction to the Minimal Model Program | Eric Riedl |
| 09/12 | Castelnuovo's contractibility and surfaces (S) with (K_S) not Nef | Noa Hunter |
| 09/19 | Basic Properties I (Mori Fibre and minimal model) | Emma Dooley |
| 09/26 | Basic Properties II (Minimal models and canonical models) | Mattie Ji |
| 10/03 | Enriques classification and birational relations in (\dim = 2) | Chase Bender |
| 10/10 | Logarithmic Category | Jaziel Torres |
| 10/31 | Minimal Model Programs in (\dim \geq 3) and Basic Properties I | Emma Dooley |
| 11/07 | Basic Properties II and Birational Relations (and Mori Variations) | Emma Dooley |
| 11/14 | Singularities | Fuxiang Yang |
| 11/21 | Cone Theorem Part I | Emma Dooley |
| 12/05 | Cone Theorem Part II | Emma Dooley |
| 12/12 | How (we hope) (K_X) controls rational curves? (using the perspective of the MMP) | Jaziel Torres |