学术信息

数学学科2026系列学术报告之十六

来源:理学院 发布日期:2026-05-26

报告题目On twisted ϕ-coordinated modules for N-graded conformal vertex superalgebras

报告人:李海生教授(罗格斯大学肯顿分校)

  间:2026年5月27日16:00-17:00

  点:理学院1号楼1-301

  要:For various purposes, in addition to the traditional theories of modules and twisted modules, the theories of quasi modules, ϕ-coordinated modules, and twisted ϕ-coordinated modules were developed for quantum vertex algebras including vertex super-algebras. The most general theory is that of twistedϕ-coordinated quasi modules. In this talk, as an illustrating example we shall use a family of infinite-dimensional Lie superalgebras, introduced by L¨u,You, and Zhao, called the (d, σ)-twisted affine-Virasoro Lie superalgebras, to give a natural connection of this family of Lie super-algebras with N-graded conformal vertex superalgebras in terms of (ordinary) modules, ϕ-coordinatedmodules, and twisted ϕ-coordinated modules. This talk is based on joint work with Kaiming Zhao.

报告人简介:李海生,美国罗格斯大学肯顿分校终身教授,著名华人数学家、顶点算子代数奠基人之一,多年来一直从事无穷维李代数、顶点代数、顶点算子代数的重要表示与结构理论的研究。在Duke Math. J.、Adv. Math.、Math. Ann.、Comm. Math. Phys.、Trans. Amer. Math. Soc.、Israel J. Math.、Math. Z.、Selecta Math. (N.S.)、J. Algebra、J. Pure Appl. Algebra等著名期刊发表高水平学术论文100余篇,被同行文章引用超3000篇次,并担任Electronic Research Archive杂志的编委。主持多项美国自然科学基金,一项中国自然科学基金(海外合作项目)。