Singularities on K-moduli spaces of Fano varieties
Event details
| Date | 21.10.2021 |
| Hour | 14:15 › 16:00 |
| Speaker | Andrea Petracci (Freie U Berlin) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Recently there has been spectacular progress, due to many scholars, on the construction of moduli stacks/spaces of K-(semi/poly)stable Fano varieties. It is a natural question to understand the geometry of these spaces.
Although smooth Fano varieties have unobstructed deformations, in joint work with Kaloghiros we constructed the first examples of obstructed K-polystable Fano varieties by using toric geometry. These give singular points on K-moduli of Fanos. In this talk I will try to explain these constructions; as a corollary I will show that K-moduli of Fano of dimension at least 3 can have arbitrarily many local branches.
Practical information
- Informed public
- Free
Organizer
- Roberto Svaldi
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)