报告题目:Relative Koszul duality and dg orbit quotient

报告人：邱宇 教授（清华大学）

报告时间：7月5日 15:30-16:30

报告地点：广A108

摘 要: We show that, for any dg algebra A, its perfect derived category can be realized respectively as an (enlarged) cluster category and a (shrunk) singularity category of certain differential bigraded algebras, generalizing results of Ikeda-Qiu and Happel/Hanihara-Iyama respectively. A direct equivalence between such a cluster category and singularity category is also given via relative Koszul duality. Finally, we show that these construction is compactible with taking orbit categories. This is a joint work with Fan Li and Bernhard Keller.

报告人简介：邱宇，清华大学数学科学中心教授。研究方向为代数表示论与几何拓扑；着重研究Calabi-Yau/Fukaya范畴，稳定条件空间，辫子群和丛理论等。在Invent. Math., Math. Ann., Adv. Math., Compo. Math.等杂志发表论文十余篇，2016年获得国际代数表示论会议奖。

邀请人：朱海燕