标题：Tensor category for the vertex algebra W(2,2) and W(2,4)

报告时间：2026年11月03日（星期二） 14:00-15:00

报告地点：线上腾讯会议(会议ID: 948116841，会议密码: 无)

主讲人：杨进伟

主办单位：数学与统计学院

报告内容简介：

The vertex algebras W(2,2) and W(2,4) are vertex algebras generated by two vectors of conformal weights 2 and 2 and by two vectors of weights 2 and 4, respectively. One from the first family is the vertex algebra associated to the Galilean conformal algebra first studied by Dong-Zhang and one from the second family is the Z_2 orbifold of the Heisenberg vertex operator algebra first studied by Dong-Griess. I will recall their representation theory and describe the subcategories of C_1-cofinite modules and show they admit braided tensor categories. Then I will discuss their fusion rules and prove the rigidity. I will also describe their connections to the quantum group tensor categories. This is based on the joint works with D. Adamovic, X. Lin, G. Radobolja and M. Peng.

主讲人简介：

杨进伟，上海交通大学副教授，国家高层次青年人才。本科和硕士毕业于北京大学数学学院，师从张继平院士。2014年在罗格斯大学取得博士学位，导师为黄一知教授。主要研究领域为顶点算子代数及其表示论，张量范畴理论。在Proc. LMS, Adv. Math., Comm. Math. Phys., Trans AMS, Math. Ann., IMRN, CCM等著名期刊上发表论文30余篇。