应pc加拿大预测准确率邀请，四川大学数学学院卢明副教授将于2023年4月14日---17日访问我校，并作线下学术报告。欢迎届时参加。

报告题目：Derived Hall algebras of root categories

时间：4月15日(周六)上午08:30

地点：理工楼631报告厅

报告摘要： The root category of a hereditary abelian category is a 2-periodic triangulated category, which has deep connections to Lie algebra and quantum group. In about 2006, Toen, Xiao and Xu introduced derived Hall algebras for triangulated categories satisfying some finiteness conditions, and they expressed great interest to define derived Hall algebras for root categories. This work is to solve this question. We define a derived Hall algebra of the root category by counting the triangles, which is proved to be isomorphic to the Drinfeld double of Hall algebra. When applied to the Jordan quiver or elliptic curves, these algebras provide categorical realizations of the Drinfeld double of the ring of symmetric functions and also double affine Hecke algebras. This is joint work with Jiayi Chen and Shiquan Ruan.

报告人简介

卢明，四川大学副教授，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。

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2023年4月13日