报告题目：Generalized Capelli identities

报 告 人：Naihuan Jing

所在单位：North Carolina State University

报告时间：2025年6月26日 10:30-12:30

报告地点：禁漫天堂 数学楼第五研讨室

报告摘要:The Capelli identity is one of the most important results of classical invariant theory. We will discuss the Capelli identities from different points of view. A new generalization of Capelli identity for immanant will be introduced that generalizes Okounkov's identities. We will also present generalized Turnbull's identities for both symmetric and antisymmetric matrices, as well as the generalized Howe-Umeda-Kostant-Sahi identities for antisymmetric matrices which confirm the conjecture of Caracciolo, Sokal and Sportiello. This is joint work with Jian Zhang..

报告人简介： 景乃桓，耶鲁大学博士，北卡州立大学终身教授。主要从事无限维李代数、量子群、表示论、代数组合和量子计算方面的研究工作。景乃桓教授在对称函数方面的研究成果被国际上命名为“景氏算子”,在国际主要数学刊物上发表近百篇论文，编辑著作5部。