Higher algebraic and categorical structures from two-dimensional conformal field theory

二维共形场理论的研究与高等表征理论和高等范畴理论的发展有着丰富的相互作用。本文拟对二维CFT的最新发展中出现的一些主题进行研究，这些主题不仅本身很有趣，而且有助于提供对一般理论的见解：(a)高一元范畴和高编织(b)广义弦网构造和衍生模函子(c)双范畴的柱面范畴、有分类迹和拓扑循环同调

The study of two-dimensional conformal field theories has rich interactions with the developments of higher representation and higher category theories. We propose to study some topics arising from recent developments in 2d CFT that not only are interesting in their own right but also help to provide insights into the general theory: (a) Higher monoidal categories and higher braidings (b) Generalized string-net constructions and derived modular functors (c) Cylinder categories, categorified traces, and topological cyclic homology of bicategories