Higher Groups in Higher Gauge Theory
发布时间：2018年09月25日
浏览次数：6681
发布者: He Liu
主讲人： Chenchang Zhu (Georg-August-Universität Göttingen)
活动时间： 从 2018-10-11 14:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
There has been much recent development on higher symmetries in topological orders as the study of topological phase of maters has become a very active field in condensed matter physics. In this talk, we will carry out the mathematical foundation of a recent joint project with Tian Lan and Xiao-Gang Wen in the above direction. Higher groups are group objects in a higher category. In a very concise way, they can be realised as a simplicial object satisfying suitable Kan conditions. We will give a more explicit algebraic model to realise some of them. This model is between the target of Dold-Kan functor and the skeleton case. Then we discuss higher gauge theory for topological orders, classification of them in lower dimensions, and explicit realisations in special cases.
