Dispatches from the Ends of the Stability Manifold - Part II

Explore the concept of augmented stability conditions in this 57-minute lecture by Daniel Halpern-Leistner from Cornell University. Delve into the proposed "noncommutative minimal model program" and its implications for the stability manifold of projective varieties. Learn about multi-scale decompositions as generalizations of semiorthogonal decompositions, and discover the new moduli space of multi-scale lines. Examine the main conjecture regarding the space of augmented stability conditions as a manifold with corners. Consider the potential consequences for moduli spaces of semistable objects in smooth and proper dg-categories if this conjecture holds true.