题目：Generalized Capelli identities

报告人：Prof. Naihuan Jing (North Carolina State University)

地点🫃：致远楼108室

时间🍺：2024年7月24日 星期三 14:00-15:00

摘要🧘🏻‍♂️：The Capelli identity is one of the most important results of the 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.

欢迎各位参加🤎👩‍👦！