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李嘉伦 博士:Counting and equidistribution of periodic orbits

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 李嘉伦 博士,苏黎世大学
Inviter:
Title:
Counting and equidistribution of periodic orbits
Time & Venue:
2021.11.05 16:00-17:00 南楼N202室 腾讯会议:247 175 897
Abstract:
This talk is about counting and equidistribution of periodic diagonal orbits on Gamma\G. I will start with the classic case of periodic geodesics on the unit tangent bundle of the modular curve T^1(SL(2,Z)\H)=SL(2,Z)\SL(2,R). There are works of Margulis, Bowen from dynamic side and works of Selberg, Sarnak from spectral theory and number theory side. Then I will talk about its generalization to the higher rank case, periodic diagonal orbits on SL(d,Z)\SL(d,R). If time permits, I will also discuss its generalization to infinite volume hyperbolic manifolds.

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