"Moduli spaces of (log-)varieties: projectivity and applications"
Event details
| Date | 24.03.2015 |
| Hour | 09:00 › 10:00 |
| Speaker | Prof. Zsolt PATAKFALVI (Princeton University) |
| Location | |
| Category | Conferences - Seminars |
One of the primary goals of algebraic geometry is to classify algebraic varieties. In this talk, I will explain what algebraic varieties are and how the quest for their classification
leads to the construction of moduli spaces.
I will also discuss why projective compactifications of these moduli spaces are useful. To demonstrate this, I will focus on moduli spaces of stable (weighted pointed) curves, as well as their higher dimensional generalizations, which are referenced as stable log-varieties, KSBA pairs or semi-log canonical models in the literature.
In the end, I will present recent results on the projectivity of the moduli spaces of stable log-varieties, as well as some applications and related results.
leads to the construction of moduli spaces.
I will also discuss why projective compactifications of these moduli spaces are useful. To demonstrate this, I will focus on moduli spaces of stable (weighted pointed) curves, as well as their higher dimensional generalizations, which are referenced as stable log-varieties, KSBA pairs or semi-log canonical models in the literature.
In the end, I will present recent results on the projectivity of the moduli spaces of stable log-varieties, as well as some applications and related results.
Practical information
- Informed public
- Free
Organizer
- Prof. Ph. Michel
Contact
- Prof. Ph. Michel