Nordfjordeid Summer School 2016

The Wayback Machine - https://web.archive.org/web/20170502022720/http://sheaves.ux.uis.no:80/nordfjordeid2016/program.html

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)

Detailed programme in PDF-format.

Literature

Suggested preparatory reading:

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

Further reading, some which is more advanced:

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