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【学术报告】2021年8月10-11日杨磊教授举办学术讲座

作者: 时间:2021-08-09 点击量:

报告人:杨磊(四川大学)

邀请人:  王保伟

(一)报告时间2021年8月10日(星期二)10:00-12:00

          报告地点:腾讯会议 ID:869 395 836

(二)报告时间:2021年8月11日(星期三)上午10:00-12:00

          报告地点:腾讯会议ID:319 239 793

报告题目:Homogeneous dynamics and Khtinchine's theorem on manifolds

报告摘要:In these two talks, I will explain the proof of the Khintchine theorem for manifolds. We will prove that the Khintchine theorem holds for any non-degenerate manifolds, namely, convergence (and divergence, respectively) of a series involving the approximate function will imply that the set of approximable point (with respect to the approximate function) lying on a non-degenerate manifold has zero Lebesgue measure (and full Lebesgue measure, respectively). This confirms a conjecture by Kleinbock and Margulis in 1998 and strengthens their result in a sharp way.The first talk is devoted to a brief history of this topic. I will explain the detail of the proof in the second talk. This is a joint work with Beresnevich.







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