学术报告报告题目：Higher groups in higher gauge theory
报 告 人：朱晨畅 教授（哥廷根大学）
报告时间：2019年1月3日（星期四）上午11:00-12:00
报告地点：4号楼318室
邀 请 人：郑驻军 教授
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数学学院
2019年1月2日
报告摘要：
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. These higher groups are then used in the sigma model as the target space to realise various physical meaningful phases.