Stability conditions on derived categories: The main reference is
Bridgeland's paper's math.AG/0212237
where this theory was first developed. The beautiful paper math.AG/0307164 constructs the stability
manifold of algebraic K3 surfaces. Also see math.AG/0611510 for an expository account
by Bridgeland.
Moduli of objects in derived categories: The first work dealing with the moduli
of complexes is Inaba's Toward a definition of moduli of complexes of coherent sheaves on a projective scheme. A more complete and rather more technical treatment is
Lieblich's (''Mother of Moduli Spaces'') paper math.AG/0502198.For treatments of moduli
spaces of stable complexes see
math/0703590 by Toda,
arXiv:0708.2247 by Arcara, Bertram and Lieblich, and math.AG/0612078 by Inaba (which
uses a diffrent notion of stability from Bridgeland's).
Below are links to the seminar from previous years.