题目：Derived equivalences between one-branch extensions of “rectangles”

报告人：林亚南 教授， 厦门大学

时间：2022年7月6日（星期三）下午16：30-17：30

地点：东区管理科研楼1318教室

摘要：In this talk，we investigate the incidence algebras arising from one-branch extensions of “rectangles”. There are four different ways to form such extensions, and all four kinds of incidence algebras turn out to be derived equivalent. We provide realizations for all of them by tilting complexes in a Nakayama algebra. As an application, we obtain the explicit formulas of the Coxeter polynomials for a half of Nakayama algebras (i.e., the Nakayama algebras N(n,r) with 2r\geq n+2). Meanwhile, an unexpected derived equivalence between Nakayama algebras N(2r-1,r) and N(2r-1,r+1) has been found. This is the joint work with Qiang Dong and Shiquan Ruan.