The study of algebraic geometry has always been a strong point in the Italian and Spanish mathematical culture, but this phenomenon has seen, in the last years, a significant increase of quality, quantity, and interactions of researchers. These cultural exchanges, nowadays deep even at the level of undergraduate and graduate students, find their root in the relevant affinity on the point of view of which have to be considered the most important research themes to be developed. Many researchers from one of the two countries, like the proponents, have spent a period of study in prestigious research institutes or conferences of the other country. These contacts have allowed the start of a strong and long lasting collaboration between the two schools.

The aim of this special session is to consolidate these ties, and, at the same time, to keep contact and be up to date with the world leading research, with the participation of both strong experienced and young promising researchers, Italian, Spanish and also from other countries. A more specific goal will be to present the state of the art in the study of algebraic varieties of any dimension, from many mainstream points of view, such as birational geometry, derived categories, vector bundles and representation theory, irregular varieties, and so on.

• Laura Costa (University of Barcelona, Spain) - costa@ub.edu
• Angelo Felice Lopez (Roma Tre University, Italy)
• Roberto Muñoz (Rey Juan Carlos University, Spain)
• Paolo Stellari (University of Milan, Italy)

Below you can download the schedule and the abstracts of all talks of this special session.

• Miguel Angel Barja (Polytechnic University of Catalonia, Spain)

           Generalized Clifford-Severi inequality and the geography of irregular varieties

• Cinzia Casagrande  (University of Turin, Italy)

           Locally unsplit families of rational curves on Fano manifolds

• Paollo Cascini  (Imperial College London, United Kingdom)

           Birational geometry in positive characteristic

• Daniele Faenzi (University of Pau and Pays de l'Adour, France)

          Surfaces of minimal degree tame and wild representation type

• Oscar García-Prada (Institute of Mathematical Sciences, Madrid, Spain)

           Involutions on Higgs bundle moduli spaces

• Martí Lahoz  (Institute of Mathematics of Jussieu, France)

          Stable ACM bundles on cubic fourfolds

• Gianluca Pacienza (University of Strasbourg and CNRS, France)

           Families of rational curves on holomorphic symplectic varieties

• Rita Pardini (University of Pisa, Italy)

          Stable Gorenstein surfaces with K2=1

• José Carlos Sierra (Institute of Mathematical Sciences, Madrid, Spain)

          Some results on multisecant lines of smooth codimension two subvarieties of projective spaces

• Yukinobu Toda (Kavli IPMU, University of Tokyo, Japan)

           Flops and S-duality conjecture

• Jaroslaw Wisniewski  (University of Warsaw, Poland)

          On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32