关于举行徐斌彬副教授（南开大学）学术报告会的通知

报告主题:   Equivalent Curves on Surfaces

报告人:  徐斌彬  副教授

报告时间：2023年 9月15日（星期五）上午9:30-10:30

报告地点： 清清文理楼 3A01

邀请人:  潘会平 副教授

欢迎广大师生前往！

数学学院

2023年 9月11日

报告摘要：We consider a closed oriented surface of genus at least 2. To describe curves on it, one natural idea is to choose once for all a collection of curves as a reference system and to hope that any other curve can be determined by its intersection numbers with reference curves. For simple curves, using the work of Dehn and Thurston, it is possible to find such a reference system consisting of finitely many simple curves. The situation becomes more complicated when curves have self-intersections. In particular, for any non negative integer k, it is possible to find a pair of curves having the same intersection number with every curve with k self-intersections. Such a pair of curves are called k-equivalent curves. In this talk, I will discuss the general picture of a pair of k-equivalent curves and the relation between k-equivalence relations for different k's. This is a joint-work with Hugo Parlier.

报告人介绍：徐斌彬，南开大学数学学院副教授，2008年本科毕业于清华大学，2014年博士毕业于法国格勒诺布尔阿尔卑斯大学，先后在韩国高等科学院和卢森堡大学做博士后。徐斌彬的研究方向几何拓扑（包括双曲几何、AdS几何、以及higher Teichmuller理论等等），相关论文发表在Trans. Amer. Math. Soc.

、Ergodic Theory Dynam. Systems、J. Geom. Phys.等期刊。