Abstract:Subfactor theory is a natural framework to study quantum symmetries. I will talk recent work joint with Chunlan Jiang and Jinsong Wu about the analytic property of the Fourier transform on subfactors. This Fourier transform also has applications in mathematical physics and quantum information theory.
讲座摘要:子因子提供了一个研究量子对称性的理论框架。我将会介绍近期与蒋春澜和吴劲松合作的关于子因子上傅立叶变换的分析性质的工作。这个傅立叶变换在数学物理和量子信息中都有其应用。
Zhengwei Liu is the post-doctor in Harvard mathematics department, his reseach interests are Von Neumann algebra (factor theory) and its connection to the quantum field theory, conformal field theory, harmonic analysis, knot theory and the representation theory and category theory in low dimensional topology.