Length Spectrum Rigidity

发布时间:2024-09-19浏览次数:101

Geometric Group Theory Seminar


Title: Length Spectrum Rigidity

Speaker: Renxing Wan

University: East China Normal University


Abstract:

       This talk will be divided into two parts. In the first part, we recall some  basic material in GGT, including marked length spectrum, contracting subsets, admissible path, and Extension Lemma. We also show how to use the Extension Lemma to get a simultaneously contracting element for two group actions with contracting property. 

        In the second part, we prove that if the two actions have the same marked length spectrum, then the orbit map G.x --> G.y must be a rough isometry.  In addition, we prove a finer marked length spectrum rigidity from confined subgroups and further, geometrically dense subgroups. 

        Our proof is based on the Extension Lemma and uses purely elementary metric geometry. This is joint work with Xiaoyu Xu and Wenyuan Yang.



Time: September 24th Tuesday 10 am, and September 27 Friday 10 am (China Standard Time).

Venue: Mindge Building, B201-1


Zoom ID: 989 8689 0777 (Password: 864691)

Link: https://zoom.us/j/98986890777?pwd=bqbSH2abTPwqkzbDNr6E7YoH77gzXI.1



更多相关信息请参见 几何群论研讨班 网页

Copyright (C)2023 哈尔滨工业大学数学研究院版权所有
人才招聘:
联系我们:
电话:86413107      邮箱:IASM@hit.edu.cn
地址:哈尔滨市南岗区西大直街92号
技术支持:哈尔滨工业大学网络安全和信息化办公室