Fock space: a bridge between Fredholm index and the quantum Hall effect

主 讲 人 ：夏经博    教授

活动时间：04月16日14时30分    

地      点 ：理科群1号楼D203室

讲座内容：

We identify the quantized Hall conductance of Landau levels with a Fredholm index by using the theories of Helton-Howe-Carey-Pincus and Toeplitz operators on the classic Fock space and higher Fock spaces. The index computations reduce to the single elementary one for the lowest Landau level. This brings new insights to the extraordinarily accurate quantization of the Hall conductance as measured in quantum Hall experiments. This is joint work with Guo Chuan Thiang.

主讲人介绍：

夏经博，国际著名算子理论学家，纽约州立大学布法罗分校教授、嘉兴大学特聘教授。主要从事函数空间、算子理论和算子代数等方面的研究，并取得了一系列重大的研究成果。其相关研究均发表在Amer. J. Math.、Adv. Math.、Trans. Amer. Math. Soc.、Comm. Math. Phys.、Indiana Univ. Math. J.、J. Funct. Anal.等顶级的国际数学期刊上。

发布时间：2024-04-15 16:25:55