## Dan Popovici (26/06/14)

Benedikt Magnússon, júní 25, 2014

Málstofa í stærðfræði

### Fyrirlesari: Dan Popovici, Institut de Mathématiques de Toulouse Titill: Positivity cones of the Aeppli chomologoy of compact complex manifolds

Staðsetning: V-155, VRII
Tími: Fimmtudaginn 26. júní, frá 15:00 til 16:00.

### Ágrip:

We define the Gauduchon cone of a compact complex $n$-dimensional manifold $X$ as the open convex cone consisting of Aeppli cohomology classes of powers $\omega^{n-1}$ of Gauduchon metrics $\omega$, while the sG (strongly Gauduchon) cone is defined as the intersection of the Gauduchon cone with a certain vector subspace. We will discuss the roles that these two cones play in describing fundamental geometric properties of $X$ as well as in the geometry of holomorphic deformations of the complex structure of $X$.