Speakers

MINI-COURSES:

 Frederic Campana (Université de Lorraine)

 "Birational classification according to the line bundles of maximal Kodaira dimension in exterior powers of the cotangent bundle"

Topics:

1. The Kodaira dimension of a line bundle.

2. ‘Kodaira’ dimension of a manifold.

3. Uniruledness and κ = −∞.

4. A (failed) decomposition attempt.

5. Saturation of differential sheaves.

6. Orbifold base of a fibration.

7. Multiplicity vs divisibility of fibres.

8. Orbifold version of Cn,m.

9. Special Manifolds.

10. the Core map.

11. Conjectures.

12. The decomposition c = (Φ ◦ r)n of the Core map.

Thomas Peternell (Universität Bayreuth) 

"Positivity properties of the cotangent bundle of manifolds with non-negative Kodaira dimension and geometric applications"

Topics:

1. Positivity  of  the cotangent sheaf of varieties with non-negative Kodaira dimension 

2. The non-vanishing conjecture for the cotangent sheaf 

3. Chern class inequalities and uniformization. 

Talks:

1.  Damian Brotbek (Université de Lorraine) "Uniqueness from a hyperbolic point of view "

2.  Bruno De Oliveira (University of Miami) "On the geography of surfaces with big cotangent bundle"

3.  Jeong-Seop Kim (School of Mathematics, KIAS) "Weak del Pezzo surfaces with big tangent bundles "

4. Margarida Mendes Lopes (CAMGSD, Universidade de Lisboa) "Surfaces with Chern ratio c_1^2/c_2<1/5"

5.  Gianluca Pacienza (Université de Lorraine) "Algebraic hyperbolicity of very general complete intersections of high degree in the projective space and measures of irrationality of projective hypersurfaces "

6. Francesco Polizzi (Università degli Studi di Napoli Federico II) "Pluri-cotangent maps of  surfaces of general type" 

7. Erwan Rousseau (Université de Bretagne Occidentale) "A generalization of Bloch-Ochiai's theorem "