報 告 人：阮詩佺 副教授

報告題目：Derived equivalences between one-branch extensions of “rectangles”

報告時間：2023年07月01日上午11：00-11：50

報告地點：靜遠樓1506學術(shù)報告廳

主辦單位:數(shù)學與統(tǒng)計學院、數(shù)學研究院、科學技術(shù)研究院

報告人簡介：

      阮詩佺，廈門大學副教授。主要從事加權(quán)射影線的傾斜理論以及Ringel-Hall代數(shù)的研究工作。在國際著名數(shù)學雜志Trans Amer Math. Soc.，Math. Z.,IMRN, J. Algebra, J Pure Appl. Algebra 等發(fā)表論文20余篇。主持國家自然科學基金面上項目1項。

報告摘要：

      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.