Nikon Kurnosov "Geometry of Bogomolov-Guan manifolds"
I will make an introduction to the example of simply-connected non-Kahler holomorphic symplectic manifolds constructed by Guan and Bogomolov in late 90-s. I will describe in some details Bogomolov's construction, which is more geometric and emphasizes the analogy with the Kodaira-Thurston example of non-K‰hler symplectic surfaces. In this talk we will discuss the geometry of such manifolds: in particular, their submanifolds and algebraic reduction to P^n. My talk is based on joint works with F. Bogomolov, A. Kuznetsova, M. Verbitsky and Y. Yasinsky.