報(bào) 告 人：阮詩(shī)佺 副教授

報(bào)告題目：Derived equivalences between one-branch extensions of “rectangles”

報(bào)告時(shí)間：2023年07月01日上午11：00-11：50

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1506學(xué)術(shù)報(bào)告廳

主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

      阮詩(shī)佺，廈門(mén)大學(xué)副教授。主要從事加權(quán)射影線(xiàn)的傾斜理論以及Ringel-Hall代數(shù)的研究工作。在國(guó)際著名數(shù)學(xué)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(guó)家自然科學(xué)基金面上項(xiàng)目1項(xiàng)。

報(bào)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.