17 may 2017 -- 15:15
Aarhus
Abstract.
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.