走向现代数学学术报告 - 章嘉雯副教授（No. 823)

报告题目：A weight-free characterisation for Yu's Property A

报告时间：2025年10月31日 14:00

腾讯会议ID：759-728-853

报 告 人：章嘉雯 副教授（复旦大学）

邀 请 人：邬恩信 副教授

报告摘要：The notion of Property A was introduced by G. Yu as a coarse analogue of amenability, which plays a key role to attack the coarse Baum-Connes conjecture. In his original definition, the family of Property A sets of a metric space X are allowed to be taken in X \times \mathbb{N}. We show that the Property A sets can indeed be chosen in X itself for any discrete metric space of bounded geometry. The key idea is to use a smearing map, inspired from uniformly finite homology introduced by Block and Weinberger. This is a joint work with G. Niblo, N. Wright and J. Zhu.

报告人简介：章嘉雯，复旦大学数学科学学院副教授，博导，主要从事泛函分析的教学和科研工作，尤其在高指标理论中核心猜想粗Baum-Conne猜想的反例、指标代数的结构等研究上取得了突出成果。在 Adv. Math.，CMP，IMRN，Trans. AMS.，JFA等权威期刊发表论文20多篇。获得2024国家自然科学基金优秀青年科学基金、参与国家重点研发计划青年科学家项目。