The complex geometry of Bridgeland stability conditions
Ruadhaí Dervan (University of Cambridge)
Abstract: I will discuss geometric partial differential equations on holomorphic vector bundles that one can associate to Bridgeland stability conditions. The setup can be seen as a generalisation of the Hitchin-Kobayashi correspondence, which relates slope stability of vector bundles with the existence of Hermite-Einstein metrics. I will then describe some foundational results concerning these new equations. The algebraic geometry involved will be light on technicalities; triangulated categories will not appear. This is joint work with John McCarthy and Lars Sektnan.
algebraic geometry
Audience: researchers in the topic
Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).
| Organizers: | Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia* |
| *contact for this listing |