报告时间：2025年9月23日（周二）下午 15:30 - 16:30

报告地点：苏州大学本部精正楼306

报告人: 吴乘洋 博士 北京大学

摘要:

With the goal to attack Uniform Littlewood's Conjecture proposed in [BFK25], we introduced the concept of ``fiberwise nondivergence'' for the action of a cone inside the full diagonal subgroup of SL_3(R). Then it is proved in our paper that there exists a dense subset of SL_3(R)/SL_3(Z) in which each point has a fiberwise non-divergent orbit under a cone inside the full diagonal subgroup and an unbounded orbit under every diagonal flow. Our proof also presented the first instance of results concerning simultaneously bounded and dense orbits for commuting actions on noncompact spaces. This is a joint work with Dmitry Kleinbock.

报告人简介：

吴乘洋，北京大学数学系博士生，从事齐性动力系统与丢番图逼近领域的研究工作，导师为安金鹏教授。

邀请人: 张涵