Seminar| Institute of Mathematical Sciences
Time: Monday, December 22th, 2025,13:30-14:30
Location: RS408, IMS
Speaker: Han Liu, Shanghai Institute for Mathematics and Interdisciplinary Sciences(SIMIS)
Abstract: In 1993, M. Gromov introduced the notion of asymptotic dimension for metric spaces as a large-scale analog of the Lebesgue covering dimension. In 2000, A. Dranishnikov introduced asymptotic property C for metric spaces as a large-scale analog of Haver’s topological property C. It is well-known that every metric space with finite asymptotic dimension has asymptotic property C. In this talk, we focus on groups that have asymptotic property C but infinite asymptotic dimension. We extend some known results on asymptotic property C to a broader class of wreath products. More generally, we prove that certain wreath-like products admit asymptotic property C, thus providing some new examples for further study.