报告题目：Length minima for a family of filling closed curves on a one-holed torus
报告人：张影
报告人简介：张影，苏州大学数学科学学院教授，从事低维流形的几何拓扑学研究，在JDG, Adv. Math., Amer. J. Math. 等国际数学期刊发表研究论文。
报告内容简介：We explicitly find the minima as well as the minimum points of the geodesic length functions for the family of filling (hence non-simple) closed curves, a^2b^n (n ≥ 3), on a complete oneholed hyperbolic torus in its relative Teichmüller space, where a, b are simple closed curves on the one-holed torus which intersect exactly once transversely. This provides concrete examples for the problem to minimize the geodesic length of a fixed filling closed curve on a complete hyperbolic surface of finite type in its relative Teichmüller space. This is joint work with Zhongzi Wang.
报告时间：2023年12月25日15:30
报告地点：学院会议室401
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