Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Cohomological properties of locally conformally structures on non-Kähler manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 09 May 2017
modified on 17 May 2017

17 may 2017 -- 15:15



In non-K\"ahler geometry, the Hodge decomposition and the Hard Lefschetz Condition are very special properties that characterize cohomological aspects of the complex, respectively symplectic structure. We consider now the twisted case of such cohomological properties, namely, the case of locally conformally structures. In particular, Inoue surfaces and their generalization in higher dimension (the so-called Oeljeklaus-Toma manifolds) play a role, where algebraic number theory and geometry interact.

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