Alexandra Otiman
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania & Aarhus Institute of Advanced Studies, Aarhus, Denmark

Vaisman manifolds are a special class of locally conformally Kähler manifolds that possess remarkable cohomological properties. In this talk we give an explicit description of the Bott-Chern cohomology groups of compact Vaisman manifolds. We infer that the Bott-Chern numbers and the Dolbeault numbers of a Vaisman manifold determine each other. On the other hand, we show that the cohomological invariants introduced by Angella-Tomassini are unbounded for Vaisman manifolds. Finally, we give a cohomological characterization of the Dolbeault and Bott-Chern formality for Vaisman metrics. This is joint work with Nicolina Istrati.