报告题目：Homological properties of generalized complexes

报告摘要：In order to realize i-quantum groups in Drinfeld type presentation, we introduce generalized complexes over abelian categories. This kind of complexes includes (bounded) complexes, periodic complexes and modules of i-quivers introduced by Weiqiang Wang and the speaker. We study the Gorenstein projective objects, objects of finite projective dimensions, and singularity category of the generalized complexes. A kind of Hall algebra is constructed for the generalized complexes, and is used to realize the i-quantum groups. This is joint work with Shiquan Ruan.

报告人简介：卢明，四川大学教授，国家人才计划（青年学者），研究兴趣为代数表示论与李理论。目前主要从事量子群和i-量子群的Hall代数实现和几何实现的研究，在Proc. London Math. Soc, Adv. Math, Comm. Math.Phys., Selecta Math., Trans. AMS等数学杂志上发表30余篇论文。

报告时间：2024年05月24日 16：00-17：00

报告地点：同析4号楼 322会议室