Genericity on submanifolds of homogeneous spaces and its applications

讲座时间 Datetime: 2021年12月7日，星期二，10:00-11:00

地点 Venue: 腾讯会议，661 729 458

报告人 Speaker:  张涵 博士后研究员

单位 Affiliation: 清华大学丘成桐数学科学中心

报告摘要 Abstract:

We investigate Birkhoff genericity on certain submanifolds of homogeneous spaces. The submanifold we consider is parameterized by the unstable horospherical subgroup of a diagonal flow. Under the assumption that the intersection of the submanifold with any affine rational subspace has Lebesgue measure zero, we show that the trajectory of the diagonal flow along Lebesgue almost every point on the submanifold gets equidistributed. At the end, we will deduce an application of our result to universal hitting time for integrable flows on torus.