Miron Stanciu
University of Bucharest & Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

We define locally conformally Kähler (lcK) spaces with possible singularities and talk about a few recent results obtained on them, chiefly the existence of a type of Vaisman Theorem about the compatibility of an lcK and a Kähler structure. We then define quasi-lcK metrics and use them to show that even though modifications of lcK spaces are not always lcK, they are quasi-lcK. This is a joint work with O. Preda.