Tuesday, August 6, 15:15, 7.527

Dong Yang (Nanjing University)
A classification of silting objects for derived preprojective algebras of Dynkin quivers.

Abstract:
For a Dynkin quiver, its derived preprojective algebra is the 2-Calabi--Yau completion of its path algebra. The 0-th cohomology of the derived preprojective algebra is exactly the preprojective algebra. I will discuss the relation between silting mutations and spherical twist functors associated to simple modules and then, based on this relation, present a classification of silting objects by establishing a bijection between the set of the isoclasses of basic silting objects and the corresponding Braid group. This is based on a joint work with Yuya Mizuno.