BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Some questions about nef (1,1)-classes on non-Kähler manifolds Tosatti, Valentino


The cone of nef (1,1) real Bott-Chern cohomology classes on a compact complex manifold is defined in analogy with the Kahler case, as the cone of classes which admit representatives with arbitrarily small negative part. On a K\"ahler manifold this coincides with the closure of the Kahler cone. I will review some basic open problems about these classes, which are either trivial or known in the Kahler case, and I will present partial progress towards some of these (joint with S. Kolodziej and B. Weinkove) and some speculations.

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