▶ 10:00-10:50

Thomas Peternell (Bayreuth)

- Title: K-trivial and elliptically chain connected varieties

- Abstract: I will discuss (joint work in progress with V.Lazic) the notion of elliptically chain connected varieties and their geometry. Further, manifolds covered by elliptic curves will be treated with special regard to the existence of rational curves, as well as some open problems.

▶ 11:10-12:00

Andreas Hoering (Nice)

- Title: Positivity of vector bundles with c_1=0

- Abstract: Foliations with numerically trivial determinant play an important role for the decomposition theorem for varieties with numerically trivial canonical divisor. In this talk I will explain the abstract positivity result that plays a crucial role for proving the algebraic integrability of these foliations. This is joint work with Thomas Peternell.

▶ 14:00-14:50

Vlad Lazic (Saarbrücken)

- Title: On Generalised Abundance

- Abstract: I will discuss a surprising generalization of nonvanishing and semiampleness conjectures from various contexts. This is joint work with Thomas Peternell.

▶ 15:10-16:00

Christian Lehn (Chemnitz)

- Title: Global Torelli Theorem without Twistor spaces

- Abstract: Verbitsky's Global Torelli theorem has been one of the most important advances in the theory of holomorphic symplectic manifolds in the last years. In a joint work with Ben Bakker (University of Georgia) we prove a version of the Global Torelli theorem for singular symplectic varieties. The proof does not need Twistor families; in fact, it is unknown whether they exist for singular symplectic varieties.

▶ 16:20-17:10

Klaus Hulek (Hannover)

- Title: The Mori fan of the Dolgachev-Nikulin-Voisin family in genus 2

- Abstract: Gross, Hacking, Keel und Siebert have started a program to construct compactifications of moduli spaces of K3 surfaces. Their staring point is the mirror family of polarized K3 surfaces of given genus (degree). This minor family is known as the Dolgachev-Nikulin-Voisin (DNV) family. It is a 1-dimensional family of lattice-polarized K3 surfaces. One of the main ingredients of the Gross, Hacking, Keel, Siebert  program is the Mori fan of the DNV family. In this talk we discuss the Mori fan of the DNV family in genus 2. This is joint work with Carsten Liese.