On relations between K-moduli and symplectic geometry
Cristiano Spotti (Aarhus University)
Abstract: A natural intriguing question is the following: how much the moduli spaces of certain polarized varieties know about the symplectic geometry of the underneath manifold? After giving an overview, I will discuss joint work with T. Baier, G. Granja and R. Sena-Dias where we investigate some relations between the topology of the moduli spaces of certain varieties, of the symplectomorphism group and of the space of compatible integrable complex structures. In particular, using results of J. Evans, we show that the space of such complex structures for monotone del Pezzo surfaces of degree four and five is weakly homotopically contractible.
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 |