Derived categories and birational transformations - Marco Rampazzo

Talk by Marco Rampazzo (University of Bologna), at the Antwerp Algebra, Geometry and Number Theory Seminar on November 22, 2024.
The derived category of coherent sheaves has been shown to reflect many significant geometric properties of the underlying variety. However, a precise interpretation of the derived category as an invariant is still missing. In this talk, I will provide a survey of the current state of the field and recent results in this area.