报告题目:Recent Progress on Tensor Categories of Vertex Operator Algebras
主 讲 人:杨进伟
单 位:加拿大阿尔伯塔大学
时 间:6月17日10:00
ZOOM ID:567 306 5241
密 码:123456
摘 要:
Tensor categories of vertex operator algebras play an important role in the study of vertex operator algebras and conformal field theories. A central problem of tensor category theory of Huang-Lepowsky-Zhang is the existence of the vertex tensor category structure. We develop a few general methods to establish the existence of tensor structure on module categories for vertex operator algebras, especially for non-rational and non-C_2 cofinite vertex operator algebras. As applications, we obtain the tensor structure of affine Lie algebras at various levels, affine Lie superalgebra gl(1|1), the Virasoro algebra at all central charges.
简 介:
杨进伟,加拿大阿尔伯塔大学博士后研究员,本科、硕士毕业于北京大学,2014年博士毕业于罗格斯大学。主要研究方向为顶点算子代数、表示论、张量范畴等。在Adv. Math. 、Trans. Amer. Math. Soc.、Math. Ann.、IMRN、 Comm. Math. Phys.等重要学术期刊发表论文十余篇,并获得多项基金资助,多次受邀到世界高校做相关报告。