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On cohomological properties of non-Kaehler manifolds

Monday, 21 March, 2011 - 11:30
Prénom de l'orateur : 
Daniele
Nom de l'orateur : 
ANGELLA
Résumé : 

A compact Kaehler manifold always admits a decomposition of the real de
Rham cohomology in subgroups related to the bigraded representatives;
we study the class of almost-complex manifolds having a similar
decomposition: for example, a nice result by T. Draghici, T.-J. Li
and W. Zhang states that such a decomposition always exists on a compact
almost-complex $4$-manifold. This problem is connected to the study of the
relations between the tamed and compatible symplectic cones on a compact
almost-complex manifold. In particular, we will present some results,
obtained in a joint work with Adriano Tomassini, about the relation
between the balanced and strongly-Gauduchon cones and the deformation
properties of the manifolds admitting such a decomposition.

Institution de l'orateur : 
Università  di Pisa
Thème de recherche : 
Algèbre et géométries
Salle : 
04
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