报告人简介：

黄景灏，哈尔滨工业大学数学研究院教授，副院长，2019年在澳大利亚新南威尔士大学获得博士学位，2022年入选国家级青年人才计划。从事泛函分析Banach空间理论、非交换分析的研究，相关成果发表在JEMS、Adv. Math.、CMP、IMRN、Israel J. Math.、JFA、JLMS、TAMS等期刊上。

报告简介：

The description of (commutative and noncommutative) $L_p$-isometries has been studied thoroughly since the seminal work of Banach and Stone. We provide a complete description for the limiting case, isometries on noncommutative $L_0$-spaces, which extends the Banach--Stone theorem and Kadison's theorem for isometries of von Neumann algebras. As an application, we show that a unital linear bijection $\phi$ between two $II_1$-factors is (Fuglede--Kadison) determinant-preserving if and only if it is an (algebraic) isomorphism or anti-isomorphism, which confirms a conjecture by Harris and Kadison (1996).