Special Session 109: Cluster Algebras, Hall Algebras and Their Applications

Discreteness for the derived category of a graded skew-gentle algebra
wen Chang
Shaanxi Normal University
Peoples Rep of China
Co-Author(s):    HAIBO JIN, SIBYLLE SCHROLL, QI WANG
Abstract:
I will characterize silting-discreteness for the perfect derived categories of graded gentle and skew-gentle algebras. Specifically, for a graded gentle algebra, silting-discreteness is equivalent to its associated surface being of genus zero with non-zero winding numbers for all simple closed curves. We further extend this geometric characterization to graded skew-gentle algebras via orbifold surface models.