Tuesday, March 3, 14:00, 7.527

Wei Hu (Beijing Normal University)
From stable equivalences to derived equivalences.

Abstract:
This is a joint work with C.C.Xi (arXiv:1412.7301). In this talk, we will give an inductive method to lift a stable equivalence of Morita type between two (not necessarily self-injective) algebras to derived equivalences. In particular, we will see that every stable equivalence of Morita type between two "Frobenius-finite algebras" lifts to a derived equivalence. Note that the class of Frobenius-finite algebras contains all representation-finite algebras, Auslander algebras, cluster-tilted algebras, etc.