All the lectures will take place at the historical building of the University of Barcelona in the city
center (Plaça Universitat).
Lectures should begin on Wednesday 18 in the morning, and end on Friday 20.
The schedule of talks will be determined at a later date. There will be three lectures a day.
Contents
In this short summer school we would like to present the derived category new approach to the rationality problem of cubic threefolds and fourfolds
and compare it with the classical Hodge theoretical approach.
Short summary of contents:
- Preliminaries about the derived category and semi-orthogonal decompositions;
- Stability conditions on the derived category;
- Cubic threefolds. Hodge theory and derived category;
- Hodge theoretical results for cubic fourfolds;
- Derived category of cubic fourfolds;
- Rationality conjectures in the derived category.
(pdf)
