Nordfjordeid Summer School: Stability conditions on triangulated categories and geometric applications

Lecture series

• The birational geometry of Hilbert schemes of points and moduli spaces of sheaves on surfaces (Coskun)
• Introduction to derived categories and stability conditions (Bayer/Stellari)
• Stability conditions on threefolds (Stellari)
• Moduli spaces of stable objects in the derived category (Bayer)

Literature

• A. Bayer: A tour to stability conditions on derived catoegires
• A. Cǎldǎraru: Derived categories of sheaves: a skimming
• I. Coskun and J. Huizenga: The birational geometry of the moduli spaces of sheaves on P²
• D. Huybrechts and M. Lehn: The geometry of moduli spaces of sheaves
• M. Lehn: Lectures on Hilbert schemes

• D. Arkara et al: The minimal model program for the Hilbert scheme of points on P² and Bridgeland stability
• A. Bayer: Wall crossing implies Brill–Noether/Applications of stability conditions on surfaces
• A. Bayer and E. Macrì: Projectivity and Birational Geometry of Bridgeland moduli spaces
• A. Bayer and E. Macrì: MMP for moduli of sheaves on K3s via wall crossing: nef and movable cones, Lagrangian fibrations
• I. Coskun et al: The effective cone of the moduli space of sheaves on the plane
• I. Coskun and J. Huizenga: The ample cone of moduli spaces of sheaves on the plane
• I. Coskun and J. Huizenga: The nef cone of the moduli space of sheaves and strong Bogomolov inequalities
• G. Ellingsrud and L. Göttsche: Hilbert schemes of points and Heisenberg algebras
• J. Le Potier: Lectures on vector bundles