Quantum symmetric pairs at roots of unity

2026年9月21日, 周一, 15:00-17:00

稿件来源:张伟楠 助理教授 发布人:叶海霞

讲座题目:Quantum symmetric pairs at roots of unity

讲座时间 Datetime:2026年9月21日, 周一, 15:00-17:00
地点 Venue: 海琴二号A334
主持人 Host:齐飞 副教授
报告人 Speaker:  张伟楠 助理教授

单位 Affiliation: 深圳大学
报告摘要 Abstract: 
The representation theory of quantum groups at roots of unity was developed by De Concini-Kac-Procesi, and this has applications and connections in modular representations, Poisson geometry, and geometric representation theory. In this talk, we generalize the approach of De Concini-Kac-Procesi to quantum symmetric pairs. We construct the Frobenius center for iquantum groups at odd roots of unity and show that the irreducible modules of iquantum groups are parametrized by twisted conjugacy classes of the underlying Lie group. We further study dimensions of these irreducible modules. This is based on a joint work with Jinfeng Song.
报告人简介:
张伟楠,深圳大学助理教授,研究领域是李理论与表示论,主要研究量子群与量子对称对的理论。2023年在美国弗吉尼亚大学获得博士学位,2023-2026在香港大学从事博士后研究。成果发表在Proc. Lond. Math. Soc., Commun. Math. Phys., Selecta Math.等期刊