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必威、所2021年系列学术活动(第68 场): 章嘉雯 青年副研究员 复旦大学

发表于: 2021-06-11   点击: 

报告题目:Quasi-local algebras and asymptotic expanders

报 告 人:章嘉雯 青年副研究员 复旦大学

报告时间:2021年6月17日  13:30-14:30

报告地点:腾讯会议 ID:826 579 543密码:0617

校内联系人:张远航 zhangyuanhang@jlu.edu.cn


报告摘要:Roe algebras are C*-algebras associated to metric spaces, which encode their large scale structures. These algebras play a key role in higher index theory, providing a bridge between geometry, topology and analysis. We study a quasi-local perspective on Roe algebras, which leads to a larger index algebra called the quasi-local algebra.

Based on the idea of quasi-locality, we introduce a graphic notion called asymptotic expanders which generalise the classic one of expanders. Using a structure theorem, we show that asymptotic expanders cannot be coarsely embedded into any Hilbert space and hence construct new counterexamples to the coarse Baum-Connes conjecture.

This is a joint project with Ana Khukhro, Kang Li, Piotr Nowak, Jan Spakula and Federico Vigolo.


报告人简介:章嘉雯,复旦大学数学科学学院青年副研究员,主要从事非交换几何领域的研究。近些年围绕Roe代数的刚性、几何群论的一些核心问题上取得一系列研究成果。在TAMS、JFA、Selecta Math.等重要期刊已发表多篇科研论文。