汇报标题 (Title)：Relative expander graphs, metric embeddings into Banach spaces and higher index problems（相对发展图、Banach空间中的怀抱嵌入和高指标问题）
汇报人 (Speaker)：王勤 教授（华东师范大学）
汇报功夫 (Time)：2024年4月24日(周三) 10:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：席东盟、李晋、张德凯、吴加勇
主办部门：理学院数学系
汇报提要：Relative expanders are families of Cayley graphs whose metric geometry lies in between the geometry of a Hilbert space and that of a genuine expander. They were introduced by Arzhantseva and Tessera in terms of relative Poincare inequalities. In fact, these spaces do not coarsely embed into any uniformly curved Banach space introduced by Pisier. We show that certain relative expanders satisfy the coarse Baum-Connes conjecture and possesses operator K-theory amenability. In this lecture, we will discuss some of key ideas and results in this circle of developments.
