报 告 人：阮诗佺 副教授
报告题目：Derived equivalences between one-branch extensions of “rectangles”
报告时间：2023年07月01日上午11：00-11：50
报告地点：静远楼1506学术报告厅
主办单位:数学与统计学院、数学研究院、科学技术研究院
报告人简介：
阮诗佺，厦门大学副教授。主要从事加权射影线的倾斜理论以及Ringel-Hall代数的研究工作。在国际著名数学杂志Trans Amer Math. Soc.，Math. Z.,IMRN, J. Algebra, J Pure Appl. Algebra 等发表论文20余篇。主持国家自然科学基金面上项目1项。
报告摘要：
This is joint work with Qiang Dong and Yanan Lin. 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 ). Meanwhile, an unexpected derived equivalence between Nakayama algebras N(2r-1,r) and N(2r-1,r+1) has been found.