ERC Consolidator Grant · 2017
Stability Conditions, Moduli Spaces and Enhancements
I will introduce new techniques to address two big open questions in the theory of derived/triangulated categories and their many applications in algebraic geometry. The first one concerns the theory of Bridgeland stability conditions, which provides a notion of stability for complexes in the derived category. The problem of showing that the space parametrizing stability conditions is non-empty is one of the most difficult and challenging ones. Once we know that such stability conditions exist, it remains to prove that the corresponding moduli spaces of stable objects have an interesting geometry (e.g. they are projective varieties). This is a deep and intricate problem. On the more…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.