中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 李嘉伦 博士（苏黎世大学）

题  目：Counting and equidistribution of periodic orbits

时  间：2021.11.05（星期五），16:00-17:00

地  点：数学院南楼N202室  腾讯会议：247 175 897

摘  要：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.