Stability Conditions, Moduli Spaces and Enhancements


February 2018-January 2023

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.

Dipartimento di Matematica "F. Enriques"

Università degli Studi di Milano

Via Cesare Saldini 50

20133 Milano - Italy

Email: paolo(dot)stellari(at)unimi(dot)it

Phone: +39-02-50316082