Tuesday, October 27, 15:15, 7.527

Magnus Engenhorst (Bonn)
Maximal green sequences for quiver categories

Abstract:
Maximal green sequences were introduced as combinatorical counterpart for Donaldson-Thomas invariants for 2-acyclic quivers with potential by B. Keller. A third incarnation are maximal chains in the Hasse quiver of torsion classes. More generally, we introduce maximal green sequences for hearts of bounded t-structures of triangulated categories that can be tilted indefinitely. In the case of preprojective algebras we show that a quiver has a maximal green sequence if and only if it is of Dynkin type.