报告人：Slaven Kozic（萨格勒布大学）

报告时间：2026年6月9日（周二）下午16:00 - 17:00

报告地点：国交二号楼315会议室

报告摘要：We consider the Etingof-Kazhdan quantum affine vertex algebra $\mathcal{V}^c(R)$ of level $c\in\mathbb{C}$ associated with the trigonometric R-matrix $R$ of type A. We generalize the notion of $\phi$-coordinated $\mathcal{V}^c(R)$-module, so that the corresponding module map no longer possesses the ordinary weak associativity property, and then we show that such structures naturally govern the representation theory of the $q$-Yangian $Y_q(\mathfrak{gl}_N)\subset U_q(\widehat{\mathfrak{gl}}_N).$ Finally, we discuss their application to establishing a direct connection between the quantum Feigin-Frenkel center, i.e. the center of $\mathcal{V}^c(R)$ at the critical level $c=-N ,$and commutative families in the $q$-Yangian $Y_q(\mathfrak{gl}_N).$ The talk is based on the joint work with Lucia Bagnoli and Naihuan Jing.