The arguments presented and the research problems assigned to the participants are connected to the research areas of abelian varieties, moduli spaces of curves and algebraic surfaces and Galois theory of rational function fields of algebraic varieties.

During the first 10 days of the main teachers held daily one hour seminars each, introducing the theoretical bases and the main results of the theories involved, assisted by various supplementary lessons with examples and applications by their collaborators. The detailed list of these activities, the assigned problems and working groups follows below.

Schedule of seminars and individual meetings

June 20, 2016

• 9,30-10,30: Galois groups and Monodromy (Pirola);

• 11-12: Complex torus: topology and Hodge theory (Naranjo);

• 14,30: Examples and applications (Stoppino);

• 16: Examples and applications (Gonzalez-Alonso).

June 21, 2016

• 9,30-10,30: Lemma of uniform position I (Pirola);

• 11-12: Picard group of a torus: Appell-Humbert theorem (Naranjo);

• 14,30: Examples and applications (Stoppino);

• 16: Examples and applications (Gonzalez-Alonso).

June 22, 2016

• 9,30-10,30: Theorem of Castelnuovo and Noether (Pirola);

• 11-12: Abelian varieties, polarizations (Naranjo);

• 14,30: Examples and applications (Stoppino);

• 16: Examples and applications (Gonzalez-Alonso).

June 23, 2016

• 9,30-10,30: Lemma of uniform position II (Pirola);

• 11-12: Dual abelian varieties, Poincarč bundle (Naranjo);

• 14,30: Examples and applications (Stoppino);

• 16: Examples and applications (Gonzalez-Alonso).

June 24, 2016

• 9,30-10,30: Uniformizzazione per radicali (Pirola);

• 11-12: Brief introduction to the moduli space of polarized abelian varieties (Naranjo);

• 14,30: Examples and applications (Stoppino);

• 16: Examples and applications (Gonzalez-Alonso).

June 27, 2016

• 9,30-10,30: Theorem of Zariski (Pirola);

• 11-12: Jacobians, Torelli theorem (Naranjo);

• 14,30: Presentation of the problem: Subfield of the field of complete intersection surfaces (Pirola);

• 16,00: Presentation of the problem: Fibred surfaces with q_f=g-1 (Naranjo).

June 28, 2016

• 9,30-10,30: Hurwitz spaces (Pirola);

• 11-12: Prym varieties (Naranjo);

• 14,30: Presentation of the problem: Family of solvable curves, curves in K3 (Pirola);

• 16,00: Presentation of the problem: Geometry of \mathcal A_4^{(1,1,2,2)}$ (Naranjo).

June 29, 2016

• 9,30-10,30: Clebsch Theorem (Pirola);

• 11-12: Prym map (Naranjo);

• 14,30: Presentation problem: Uniform points in P^3 (Pirola);

• 16,00: Presentation problem: Construction of ppav with curves with minimal classes (Naranjo).

June 30, 2016

• 9,30-10,30: Alternating and theta characteristics (Pirola);

• 11-12: Prym varieties of ramified coverings (Naranjo);

• 14,30: Set up of working groups (Pirola);

• 16: Presentation problem: Isogenies of Prym varieties (Naranjo).

July 1, 2016

• 9,30-10,30: Pencil di Lefschetz (Pirola);

• 11-12: Cycles in abelian varieties (Naranjo);

• 14,30: Meetings with the working groups (Pirola);

• 14,30: Set up of working groups (Naranjo).

July 4, 2016

• 9,30-12,00: Meetings with the working groups (Pirola e Naranjo);

• 14,30-17: Individual meetings.

July 5, 2016

• 9,30-12,00: Meetings with the working groups (Pirola e Naranjo);

• 14,30-17: Individual meetings.

July 6, 2016

• 9,30-10,30: Meetings with the working groups (Pirola);

• Excursion to Lachea Island (Aci Trezza)

July 7, 2016

• 9,30-11,30: Presentation of the works by the participants;

• 14,30-16,30: Presentation of the works by the participants;

July 8, 2016

• 9,30-11,30: Presentation of the works by the participants;

• 14,30-15,30: Presentation of the works by the participants.

• 15,30: Conclusions of activities and closing ceremony.