代数与表示论讨论班

报告题目: Modular tensor categories and 3D-TFTs

报 告 人: 王亦龙 博士 (北京雁栖湖应用数学研究院)

时      间: 2026年5月7日，16:00-17:30

地      点:海纳苑2幢204

摘      要: Modular tensor categories (MTCs) play an important role in the study of 3-dimensional topological field theories (TFTs). They possess rich algebraic properties that manifest in the corresponding TFTs―for instance, through invariants of knots and 3-manifolds and representations of the mapping class groups of surfaces. In this talk, we will begin with a brief overview of MTCs and the Reshetikhin‒Turaev construction of TFTs. We will then explore two key algebraic properties of MTCs: the congruence property and Galois symmetry. Finally, we will discuss how these properties off er valuable tools for understanding the structure of MTCs and their TFTs.

联系人：李方（fangli@zju.edu.cn）