网站首页  |  实验室概况  |  研究团队  |  新闻中心  |  学术交流  |  学术报告  |  实验室年报  |  联系我们

 
 
  当前位置:首页 -> 学术报告
吴文俊数学重点实验室数学物理系列报告之2019-2【张影】
报告题目: The minimal equal length of a pair of simple closed curves in a once punctured torus as the torus runs over its relative Teichmuller space
报告人:张影教授,苏州大学
时间:3月26日(星期二)下午4:00-5:30
地点:管研楼数学科学学院1208教室
摘要:We consider the problem of minimizing the equal length of a pair of simple closed geodesics of given topological type in a once punctured hyperbolic torus with fixed geometric boundary data as the torus runs over its relative Teichmuller space. For specific pairs with symmetry, we are able to determine the minimizing torus and hence the minimal length. It is natural to compare the minimal lengths for inequivalent pair of the same intersection number. As computer experiments show, there is a conjecture that the specific pair of slopes (1/0, 1/n) has its minimal length smaller than any other pair of slopes (1/0, m/n), regardless of the geometric boundary data. In joint work with Da Lei, we are able to establish a stronger result as the geometric boundary of the torus is a conic point and the cone angle is approaching 2π.

欢迎广大师生参加!
中国科学院吴文俊数学重点实验室