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卢明: Quantum symmetric pairs via Hall algebras
- 来源：
- 学校官网
- 收录时间：
- 2026-06-25 13:40:02
- 时间：
- 2026-07-03 10:00:00
- 地点：
- 翡翠湖校区科教楼B1711室
- 报告人：
- 卢明
- 学校：
- 合肥工业大学
- 关键词：
- quantum symmetric pair, Hall algebra, quantum group, coideal subalgebra, integral form, dual canonical basis
- 简介：
- A quantum symmetric pair consists of a quantum group U and its coideal subalgebra Ui. The Hall algebra constructions of U and Ui are given by Bridgeland and Lu-Wang, respectively. In this paper, we construct a Hall algebra framework for the coideal subalgebra structure of Ui in U, and for the quantum symmetric pair (U,Ui). As an application, we prove that the natural embedding of Ui in U, and the coproduct preserve the integral forms of Ui and U, which are used to construct the dual canonical bases. This is based on joint works with Weiqiang Wang and Zhuoyi Zhao.
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报告介绍：
A quantum symmetric pair consists of a quantum group U and its coideal subalgebra Ui. The Hall algebra constructions of U and Ui are given by Bridgeland and Lu-Wang, respectively. In this paper, we construct a Hall algebra framework for the coideal subalgebra structure of Ui in U, and for the quantum symmetric pair (U,Ui). As an application, we prove that the natural embedding of Ui in U, and the coproduct preserve the integral forms of Ui and U, which are used to construct the dual canonical bases. This is based on joint works with Weiqiang Wang and Zhuoyi Zhao.
报告人介绍：
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40余篇论文。
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