GAAG Seminar - Constant scalar curvature metrics and semistable vector bundles
Event details
| Date | 09.09.2025 |
| Hour | 14:15 › 16:00 |
| Speaker | Annamaria Ortu (University of Gothenburg) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
For holomorphic vector bundles, the celebrated Hitchin-Kobayashi correspondence states that the slope-stability of the bundle is equivalent to the existence of a Hermite-Einstein connection.
In the first part of the talk, we present a classical result of Hong that relates this to Kähler metrics, showing that on the projectivisation of a slope-stable vector bundle there exists a Kähler metric with constant scalar curvature.
In the second part of the talk, we generalise this to slope-semistable vector bundles. In particular, we introduce a new stability condition on strictly slope-semistable vector bundle that allows us to construct constant scalar curvature metrics on the projectivisation.
This is joint work with L.M. Sektnan.
Practical information
- Informed public
- Free
Organizer
- Aline Zanardini
Contact
- Juliana Velasquez