Trace Formulas and Quantization

讲座时间 Datetime: 2023年7月7日，星期五，19:00-21:00

地点 Venue: 海琴二号A457

报告人 Speaker: 王奕 教授

单位 Affiliation: 重庆大学

主持人Host：邵国宽 副教授

报告摘要 Abstract:

We give several trace formulas for Toeplitz operators on analytic function spaces on the unit ball. We also give some asymptotic trace formulas with respect to the Toeplitz quantization. In particular, an explicit trace formula for semicommutators of Toeplitz operators is obtained. The Helton-Howe trace formula is shown to be invariant about the quantization. And an asymptotic formula for the Connes-Chern character is also obtained.

报告人简介：

王奕，重庆大学教授，毕业于复旦大学和美国德州农机大学，主要从事解析希尔伯特模上的算子研究，在Arveson-Douglas猜测及相关几何不变量，Toeplitz算子相关研究上做出重要工作，相关论文发表在Adv.Math., Proc.Lond.Math.Soc., JFA, IUMJ等期刊上。