GAAG seminar - K-moduli of quasimaps and quasi-projectivity of K-stable Calabi-Yau fibrations over curves.
Event details
| Date | 20.05.2025 |
| Hour | 14:15 › 16:00 |
| Speaker | Masafumi Hattori (Nottingham) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
K-stability is an important notion in algebraic geometry, which is introduced to detect the existence of constant scalar curvature Kahler metrics, as the Yau-Tian-Donaldson conjecture predicted. On the other hand, this notion is also closely related to GIT and moduli theory. Odaka predicted that we can construct a moduli space (K-moduli) by using K-stability and Xu et. al. constructed K-moduli theory for log Fano pairs with an ample CM line bundle, which is a line bundle canonically defined. However, Odaka’s K-moduli conjecture is still open for general polarized varieties.
In this talk, we introduce uniform adiabatic K-stability for Calabi-Yau fibrations, that is a uniform notion of K-stability when the polarization is very close to the base line bundle, and we construct K-moduli theory of Calabi-Yau fibrations over curves. Moreover, we will construct K-moduli theory for log Fano quasimaps and apply it to the quasi-projectivity for K-moduli of Calabi-Yau fibrations.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin