El profesor José Ignacio Royo Prieto ha participado como conferenciante invitado en el Workshop "Sasakian manifolds, Riemannian foliations,and related topics" (26-28 junio, Univ. Jagiellonski, Krakow, Polonia).

Título: Hard Lefschetz Property for Isometric flows and -actions
(Joint work with M.Saralegi-Aranguren and R.Wolak)

Abstract: The Hard Lefschetz Property (HLP) is an important property which has been studied in several categories of the symplectic world. For Sasakian manifolds, this duality is satisfied by the basic cohomology (so, it is a transverse property). A new version of the HLP has been recently given in terms of duality of the cohomology of the manifold itself. Both properties were recently proved to be equivalent in the case of -contact flows. We show that the HLP is naturally defined for the more general category of isometric flows, and for the category of almost-free -actions, which generalizes the rich properties of the 3-Sasakian manifolds. We also show that both versions of the HLP (transversal and global) are equivalent for isometric flows and for certain almost-free -actions.

Web del congreso: https://secure.tcumath.org/Krakow2023/