United Kingdom, Feb. 2 -- Project Id: 124270
Description: Project description
Stability conditions and wall-crossing in algebraic geometry
The EU-funded WallCrossAG project plans to 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 on wall-crossing led to breakthroughs in the birational geometry of moduli spaces and related varieties. Recent advances have revealed that the power of stability conditions extends far beyond this setting, allowing the study of vanishing theorems or bounds on global sections, Brill-Noether problems, or moduli spaces of varieties. WallCrossAG project will advance the wall-crossing method...