【代数与表示论讨论班】：Modular tensor categories and 3D-TFTs
2026-05-07 16:00:19
2026-05-07 16:00:19
2026-05-07 16:00:19
Speaker : Yilong Wang (Yanqi Lake Institute of Applied Mathematics, Beijing)
Time : 2026-05-07 16:00:19
Location : 204 Haina Complex Building 2
Speaker: 王亦龙 (北京雁栖湖应用数学研究院)
Time: 2026年5月7日，16:00-17:30
Place:海纳苑2幢204
Abstract: 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.
Contact Person：李方（fangli@zju.edu.cn）