代 数

100 years of the Schur-Weyl Duality

发布人:发布时间: 2024-01-12

字体大小: 【小】 【中】 【大】

题目:100 years of the Schur-Weyl Duality

报告人杜杰 (University of New South Wales)

时间2024年1月17日16:00-17:00

地点:鼓楼校区西大楼308报告厅

摘要:Schur algebras are certain finite dimensional algebras introduced by Issai Schur, one of the pioneers in representation theory, at the beginning of last century to relate representations of the general linear and symmetric groups. This theory is also known as the Schur-Weyl duality. Over its history of one hundred years, Schur algebras continue to make profound influence in several areas of mathematics such as Lie theory, representation theory, invariant theory, combinatorics, etc. I will discuss its latest developments from its quantum version in late 80s to the affine/super analogues and its recent generalization to types other than A via quantum symmetric pairs and i-quantum groups. I will also mention the contributions by three groups of Chinese mathematicians.

报告人简介:杜杰,澳大利亚新南威尔士大学教授。 1982年1月苏州大学本科毕业, 1987年7月华东师范大学博士毕业。在Weyl群的胞腔分解、代数群,q-Schur代数、Ringel-Hall 代数及量子群和量子超群等方面取得了一系列原创性的成果。 相关成果发表在Adv. Math., Comm. Math. Phys., Int. Math. Res. Not., J. Reine Angew. Math., Math. Z., Proc. London Math. Soc., Sci. China Math., Trans. Amer. Math. Soc.等国际著名数学学术杂志上。与合作者编著专著2本,分别由美国数学会和伦敦数学会发表。 担任多个数学类学术杂志编委。作为项目负责人多次获得澳大利亚基金委的资助。

邀请人:秦厚荣 老师