Alma universitas studiorum parmensis A.D. 962 - Università di Parma
EUGreen - European University Alliance for sustainability

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.

Speakers

Francesca Lusetti
Studentessa all'Università di Parma.

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