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线上学术报告

Title: Nakayama algebras and Fuchsian singularities

Speaker: 阮诗佺 副教授（厦门大学）

Abstract

This is joint work with Helmut Lenzing and Hagen Meltzer. In this talk, we will consider a class of Nakayama algebras given by the path algebras of the equioriented quiver of type A subject to the nilpotency degree r for each sequence of r consecutive arrows. We classify all the Nakayama algebras having Fuchsian type, that is, derived equivalent to the extended canonical algebras, or equivalently, derived equivalent to a kind of stable category of vector bundles over weighted projective lines. This is achieved by constructing certain tilting complexes in the bounded derived category of coherent sheaves and also in the stable category of vector bundles for weighted projective lines, and the strategy of one-point extension and the perpendicular approach will be used. As a byproduct, we reprove the classification result of Nakayama algebras of piecewise hereditary type due to Happel-Seidel.

报告人简介：阮诗佺，副教授，2014年博士毕业于厦门大学，2014-2017年清华大学丘成桐数学科学中心博士后，2018-2019德国比勒菲尔德大学访问学者。科研方向主要是利用加权射影直线的凝聚层范畴及其导出范畴的结构，研究它们的倾斜理论以及Hall代数结构，并建立它们与其它数学分支的联系。目前在Int. Math. Res. Not., Math. Z.，J. Algebra, J. Pure Appl. Algebra等国际期刊发表高水平论文十余篇。

北京时间：2022年7月14日（周四）上午10:10-11:10

腾讯会议：378-925-838  会议密码:  202207

入会链接:  https://meeting.tencent.com/dm/FOSsGCstfKn3

联系人:  惠昌常 陈红星