报告人:邱宇 教授(清华大学)
报告时间:2024.7.5/15:30-16:30
报告地点:广A108
报告摘要: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 jo
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。