学术讲座公告：Invariants of the orthosymplectic Lie superalgebra and the super Pfaffian

报告题目：Invariants of the orthosymplectic Lie superalgebra and the super Pfaffian
时间：2015-12-9 13:30—16:35
地点：教学楼2B106
报告人：Ruibin Zhang （悉尼大学）
报告摘要：The invariant theory of the orthosymplectic Lie superalgebra osp(V) is more intricate than that of the orthosymplectic supergroup OSp(V). For example, the endomorphism algebra End_{OSp}(V)(V^{\otimes r}) over the orthosymplectic supergroup is a quotient of the Brauer algebra of degree r (with parameter equalto the superdimension of V) as proved recently, but the endomorphism algebra End_{osp}(V)(V^{\otimes r}) over the orthosymplectic superalgebra contains elements which are not Brauer-like. We will describe explicitly some osp(V)-invariants which are referred to as super Pfaffians, and show that the OSp(V)-invariants and super Pfaffians together generate all the osp(V)-invariants. This talk is a report on some of the results in the papers
    (1) G.I. Lehrer, R.B. Zhang, Invariants of the orthosymplectic Lie superalgebra and super Pfaffians. arXiv:1507.01329.
    (2) P. Deligne, G. I. Lehrer, R. B. Zhang, The first fundamental theorem of invariant theory for the orthosymplectic super group. arXiv:1508.04202.
报告人简介：张瑞斌，澳大利亚悉尼大学数学与统计学院教授，曾获澳大利亚研究委员会伊丽莎白二世奖学金（ARC Queen Elizabeth II Fellow）、澳大利亚研究委员会教授奖（ARC Australian Professorial Fellow）等诸多荣誉，担任Taiwanese Journal of Mathematics编委以及众多国际期刊评委，澳大利亚研究委员会和美国国家安全局特约研究评审顾问。受邀在众多国家进行过学术演讲和访问。主要研究工作是李理论及其在量子物理中的应用，在国际重要学术期刊如《Annals of Mathematics数学年刊》、《Journal of Mathematical Physics数学物理杂志》、《Advances in Mathematics数学进展》、《Journal of Algebra代数杂志》、《Transactions of American Mathematical Society美国数学学会会报》发表论文120余篇，论文被他人引用1200余次，在量子超群、李超代数、低维拓扑、非交换几何、量子物理等取得重要的科研成果,在国际数学界有重要的学术影响。