ERC Consolidator Grant · 2018
Wall-Crossing and Algebraic Geometry
We will establish stability conditions and wall-crossing in derived categories as a standard methodology for a wide range of fundamental problems in algebraic geometry. Previous work based on wall-crossing, in particular my joint work with Macri, has led to breakthroughs on the birational geometry of moduli spaces and related varieties. Recent advances have made clear that the power of stability conditions extends far beyond this setting, allowing us to study vanishing theorems or bounds on global sections, Brill-Noether problems, or moduli spaces of varieties. The Brill-Noether problem is one of the oldest and most fundamental questions of algebraic geometry, aiming to classify possible…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.