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Seminario Dottorato: Topology of Kaehler and hyperkaehler manifolds

Wednesday 23 June 2010 - Julien Grivaux

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO
Wednesday 23 June 2010 h. 14:30, room 1BC/50
Julien Grivaux (Univ. Paris 6 - Pierre et Marie Curie)
"Topology of Kaehler and hyperkaehler manifolds"

-Abstract
This talk is an introduction to complex geometry.
In the first part, we will introduce some of the basic objects in the field (such as complex manifolds, differential forms and cohomology groups) and see several examples. Then we will be able to state some fundamental results on the cohomology of compact Kaehler manifolds, which are a special class of complex manifolds. We will see how these results generate constraints on the topology of Kaehler manifolds.
The last part will be devoted to the theory of hyperkaehler manifolds, wich is an active area of current research in complex algebraic geometry.
The talk will be accessible for a general audience; but basic knowledge of differentiable manifolds will of course be helpful.

Rif. int. C. Marastoni, T. Vargiolu, M. Dalla Riva

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