Count lifts of closed horocycles in locally symmetric spaces

：张润林（北京大学北京国际数学中心）
：2021-12-10 14:30
：腾讯会议ID：830629511（无密码）

报告人：张润林（北京大学北京国际数学中心）

时  间：12月10日下午14:30

地  点：腾讯会议ID：830629511（无密码）

内容摘要:

Let Y be a Riemannian symmetric space of non-compact type and let p: Y —> X be a locally symmetric quotient of Y. The fibre of a point x in X under p is discrete and Eskin—McMullen find an asymptotic count of this discrete set with respect to the natural Riemannian metric on Y. Similarly, one can replace x by some other closed sub-manifold of X and ask for an asymptotic count. In this talk the sub-manifold we take is a horocycle and we will actually discuss a very special case of this problem. Such a count is achieved by studying translates of a homogeneous measure associated to this horocycle plus a volume computation.

个人简介：

张润林博士，2014年于重庆大学取得学士学位，2020年于俄亥俄州立大学（Ohio State University）取得博士学位，现为北京大学北京国际数学中心博士后。主要研究方向为齐性动力系统及其应用，在Math. Ann., Compos. Math. 等杂志发表或被接受多篇论文。

 

联系人：吴伟胜