课程描述 DescriptionVertex operator algebras (VOAs) are mathematical objects describing 2d chiral conformal field theory. The representation category of a “strongly rational” VOA is a modular tensor category (which yields a 3d topological quantum field theory), and conjecturally, all modular tensor categories arise from such VOA representations. Conformal blocks are the crucial ingredients in...
Record: NoLevel: GraduateLanguage: ChinesePrerequisiteGraduate level algebra.AbstractIn this course, we give a brief introduction to Hopf algebras and their representation categories. We will then generalize such categories and study the abstract theory of tensor categories.Reference1. S. Montgomery. Hopf algebras and their actions on rings. CBMS Regional Conference Series in Mathematics 82.2. ...