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-Connes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。主持国自然青年科学基金项目（B类）（原优青）以及国际合作与交流项目、荣获上海市领军人才（海外）称号、参与国家重点研发计划青年科学家项目。

报告简介：

Quasi-local algebras are operator algebras associated with metric spaces, which encode their coarse geometry. They were introduced by John Roe and played an important role in the study of higher index theory, since their K-theories serve as receptacles for higher indices of pseudo-differential elliptic operators on open manifolds. Compared to the classical Roe algebras, the structures of quasi-local algebras are more complicated and it is a long-standing question whether their K-theories are the same. In this talk, we introduce state-of-the-art results concerning the relation between their structures, and our recent progress on the K-theories of these algebras. This is joint work with Kang Li and Jingming Zhu.