Event description
Abstract: A compact symplectic manifold is said to satisfy the Hard Lefschetz Condition (HLC) if the powers of the Lefschetz operator L give specific isomorphisms on the de Rham cohomology. This property has been proved to be equivalent to many symplectic harmonic and cohomological aspects. Since the property always holds on a Kähler manifold, a natural question is to find examples of HLC outside the Kähler setting. In this talk I will present the construction of new families of compact complex symplectic solvmanifolds with no Kähler structure satisfying the Hard Lefschetz Condition. I will also discuss some aspects of the almost-complex Kodaira dimension on these manifolds. This is joint work with Prof. Adriano Tomassini.