Seminar| Institute of Mathematical Sciences
Time: Wednesday, June 03th, 2026,15:00-16:00
Location: IMS S408
Speaker: Renxing Wan, East China Normal University
Abstract:In 2021, Bestvina-Bromberg-Fujiwara proposed a notion of property (QT) for finitely generated groups. Since then, the study of property (QT) has received a great deal of interest.
By considering a central extension of groups $1\to Z\to E\to G\to 1$, we show that E has property (QT) if and only if G has property (QT) and the Euler class of the extension is bounded. As a corollary, we obtain that the mapping class group of any finite-type surface has property (QT), which generalizes \cite[Theorem 1.2]{BBF21}. This is joint work with Bingxue Tao.