报告人：Erik Darpo，瑞典Uppsala University

报告时间：7月20日 10:00-11:00

地点：36-510

摘要: An important open problem in the homological algebra of self-injective algebras is to characterize periodic algebras. An algebra B is said to be periodic if it has a periodic projective resolution as a B-B-bimodule.  In this talk, I will present a solution to this problem for trivial extension algebras: the trivial extension algebra T(A) of a finite-dimensional algebra A is periodic if and only if A has finite global dimension and is fractionally Calabi-Yau. As a consequence, we get a partial answer to the periodicity conjecture of Erdmann-Skowroński, by which the classes of periodic and twisted periodic algebras to are expected to coincide. The talk is based on joint work with A. Chan, O. Iyama and R. Marczinzik.