Stability Conditions on Noncommutative Varieties with Applications in Algebraic Geometry

SCoNVAG is a research project funded by Fondo Italiano per la Scienza (FIS 3 Starting Grant), which is a national program modeled after ERC and supporting high-quality research projects to be carried out in Italy.

The main focus of this project is the theory of Bridgeland stability conditions on noncommutative varieties, which are a generalization of the notion of derived category of a smooth projective variety. The goal is to study the geometry of the associated moduli spaces of semistable objects and the topology of the space parametrizing stability conditions, with applications in hyperkähler geometry and classical moduli theory of vector bundles.

Principal Investigator: Laura Pertusi.

Project Duration: May 2026 - April 2031.