The goal of this learning seminar is to understand moduli stacks, especially the moduli stack of stable genus g curves with n marked points. We will attempt to meet weekly, following the outline of the syllabus below.
The seminar will meet Mondays at 4PM in MS 6221.
Email me at jas@math.ucla.edu for any information.
| Talk | Speaker | Notes |
| Introduction | Jas Singh | |
| Sites, sheaves, and prestacks | Rohan Joshi | |
| Stacks and representability | Josh Enwright | |
| Local, topological, and separation properties | Spencer Martin | |
| Dimension, tangent spaces, and residual gerbes | Kiran Dhaliwal | |
| Infinitesimal lifting and characterization of DM stacks | Zach Baugher | |
| Valuative criteria, sheaves, and the local structure DM stacks | Jas Singh | |
| Stable curves | Tomoki Oda | |
| Stable reduction | Jas Singh | |
| Irreducibility and the projective coarse moduli space | n/a |