报告人:景乃桓(北卡州立大学)
邀请人:曾昊智
报告时间:2023年12月8日(星期五)15:30-17:30
报告地点:科技楼南楼713室
报告题目:Sklyanin determinants
报告摘要:We will study the invariant theory of quantum symmetric spaces of symplectic and orthogonal types. Explicitly we realize the quantum symmetric spaces as subrings of the quantum coordinate ring $M_q(N)$ ans study the relations among the quantum minors, Sklyanin determinants, and quantum Pfaffians. We develop the theory of the Sklyanin determinants. One of our results points out that the square of root of quantum determinant is essentially the Sklyanin determinant in a special case, answering a question of Noumi. This is joint work with Jian Zhang(张健)
报告人简介:景乃桓,美国北卡州立大学教授。曾获国家级人才项目资助,德国洪堡研究基金,美国富尔布莱特学者等荣誉。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。景乃桓教授在 Invent. Math, PNAS, Duke Math. J.,Comm. Math. Phys, Adv. Math, J. Algebra等杂志上发表多篇高水平论文。