关于举行景乃桓教授（North Carolina State University）学术报告会的通知

报告主题:   Generalized Capelli identities

报  告  人:   景乃桓教授

报告时间:   2024年6月10日（星期一）上午10:30-11:30

报告地点:   37号楼3A01

邀  请  人:   郑驻军 教授

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数学学院

2024年 6月3日

报告摘要：

  The Capelli identity is one of the most important results of classical invariant theory. In this talk, 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.