数学学科2023系列学术报告之二十五

报告题目：Antisymmetric sums and traces associated to quotient models

报告人：Jingbo Xia

报告时间：12月26日（周二）14:00-15:00

摘要：We consider the quotient module Q of the Hardy module defifined by an analytic set satisfying certain conditions. Solving a previouslyraised problem, we show that certain 2d-antisymmetric sums of module operators are in the trace class. In the case d=1, we derive a trace formula on Q, which answers another previously-raised question.

个人简介：夏经博，纽约州立大学Buffalo分校数学系教授，博士生导师。长期从事函数空间与算子理论方面的研究，在C*-代数、K-理论、Toeplitz算⼦、Hankel算⼦、Arveson-Douglas猜想等方面有过深入研究，在Adv. Math.、J. Funct. Anal.、Amer. J. Math.、Comm. Math. Phys.、Proc. Amer. Math. Soc.等杂志发表论文近百篇。