StabCondEn is a research project concerning the theory of derived/triangulated categories and their many applications to algebraic geometry. In particular, we care about the following two:

• The theory of Bridgeland stability conditions, which provides a notion of stability for complexes in the derived category.

• The study of higher categorical enhancements of triangulated categories and a characterization of exact functors between triangulated categories.

Principal investigator: Paolo Stellari (web)

Key words: derived and triangulated categories, stability conditions, moduli spaces, higher categorical enhancements.