报告题目：The coarse Baum-Connes conjecture for relative expander graphs

报告人： 王勤（华东师范大学，教授）

报告时间：2022年12月1日 13:30-14:30

报告地点：腾讯会议ID：243777013

校内联系人：李天然

报告摘要：Expander graphs are highly connected and sparse graphs , which do not coarsely embed into Hilbert space, and are sources for counterexamples to the coarse Baum-Connes conjecture. Recently, G.Arzhantseva and R.Tessera introduce a notion of relative expander to give the first example of sequences of finite Cayley graphs of uniformly bounded degree, and even an example of finitely generated group, which do not coarsely embed into any Lp-spaces for any p>l, yet do not contain any genuine expander. We show that the coarse Baum-Connes conjecture holds for all these relative expander graphs and finitely generated groups. This is joint work with Jintao Deng( University of Waterloo)and Guoliang Yu(TAMU)