28 mar 2019 -- 14:30
Aula Tricerri, DiMaI, Firenze
After giving some preliminaries on locally conformally hyperkaehler (lchK) geometry, we present a characterisation of compact lchK manifolds in terms of the existence of a non-degenerate complex two-form with natural properties. This is a conformal analogue of Beauville's theorem stating that a compact Kaehler manifolds admitting a holomorphic symplectic form is hyperkaehler. This is joint work with Liviu Ornea.