28 oct 2022 -- 14:30
Aula 202, DIMaI, Firenze
Colloquio di Matematica del Dini
Abstract.
Hyper-Kahler manifolds are symplectic holomorphic compact Kahler manifolds, a particular class of complex manifolds with trivial canonical bundle. They form a very restricted class, both from the Riemannian and complex geometry viewpoints. They also satisfy strong topological restrictions that I will describe, and that follow from the study of their deformations. I will also explain further restrictions in dimension 4, and a classification result obtained in collaboration with Debarre, Huybrechts and Macrì.
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