清华主页 EN
导航菜单

周三现代动力学讨论班:清华大学张涵主讲

来源: 10-18

时间: Time / 时间 Wed., 19:30 - 20:30, Oct. 19, 2022

地点: Online / 线上 Tencent meeting:364-137-285

组织者:张翼华、薛金鑫、黄冠

主讲人: Speaker / 主讲人 Han Zhang (Tsinghua University)

Nondivergence of reductive group actions on homogeneous spaces


Abstract

Let $G/\Gamma$ be the quotient of a semisimple Lie group $G$ by its arithmetic lattice. Let $H$ be a reductive algebraic subgroup of $G$ acting on $G/\Gamma$. The question we are interested in is whether there is a compact set of $G/\Gamma$ that intersects every H-orbit. We show that the failure of this can be explained by a single algebraic reason, which generalizes several previous results towards this question. We also obtain a way to find this algebraic obstruction, if there is any. This talk is based on joint work with Runlin Zhang.


Speaker

张涵于2021年在美国俄亥俄州立大学取得博士学位,博士生导师为Nimish Shah教授。2021年10月至今在清华大学丘成桐数学科学中心做博士后研究,合作导师为Yitwah Cheung教授,研究方向为齐性动力系统、丢番图逼近等。

divergence of reductive group actions on homogeneous spaces

返回顶部
相关文章
  • 明日现代动力学讨论班:南开大学董长光主讲

    AbstractWe will discuss old and new properties of skew product systems, we will focus on the rigidity phenomenon of the conditional measures on fibers. Based on joint work with Dolgopyat, Kanigowski, and Nandori.Please join the seminar using the following link:https://meeting.tencent.com/dm/Qwu9hAyugbxj Speaker董长光博士2012年本科毕业于南开大学,2018年在美国宾夕法尼亚州立大学获博士学位,曾任职...

  • 周三现代动力学讨论班:魏瑜铭主讲

    讲座时间:4月20日 15:20-16:55讲座地点:近春园西楼三会主讲人:魏瑜铭