The Classification of Fusion 2-Categories
演讲者
Matthew Yu
时间
2025年02月19日 17:00 至 18:30
地点
A3-3-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
Fusion 2-categories are used to describe the fusion of 2-spacetime-dimensional surface operator, and describe the symmetries in (2+1)d quantum field theories. I will explain how to classify fusion 2-categories using braided fusion categories and group cohomological data. This is the crux of the classification, and what makes it homotopy coherent, is an equivalence between the 3-groupoid of (multi)fusion 2-categories up to monoidal equivalences and a certain 3-groupoid of commuting squares of BZ/2-equivariant space. I will present the data of these such commuting squares, and finally touch on a few applications of the classification.
Reference: arXiv:2411.05907
演讲者介绍
Matthew Yu is a postdoc at the mathematical institute at the University of Oxford. Before that, he earned his PhD at the University of Waterloo, while working at the Perimeter Institute for theoretical physics. He focuses on studying mathematical aspects of quantum field and string theory, bringing in ideas of homotopy theory and higher (fusion) categories.