亚慱体育



学术动态

位置: 首页 > 科学研究 > 学术动态 > 正文

学术报告五十九:杨磊— Khintchine’s theorem on manifolds

时间:2022-07-04 作者: 点击数:

报告时间:2022年7月5日(星期二)1500

报告地点:翡翠湖科教楼B座 1702

人:杨磊 副研究员

工作单位:四川大学

举办单位:数学亚慱体育app

报告简介:

In this talk, we will prove the convergence part of Khintchine’s theorem on non-degenerate manifolds. This confirms a conjecture of Kleinbock and Margulis in 1998. Our approach uses geometric and dynamical ideas together with a new technique of `major and minor arcs'. In particular, we establish sharp upper bounds for the number of rational points of bounded height lying near `major arcs' and give explicit exponentially small bounds for the measure of `minor arcs'. This is joint work with Victor Beresnevich.

报告人简介:Lei Yang is an associate professor at Sichuan University. He got his PhD at Ohio State University with Nimish Shah in 2014 and held postdoc positions at Yale (with Margulis, Fall, 2014), MSRI (Spring, 2015), and Hebrew University (with Lindenstrauss, 2015-2017), before moving to Sichuan. His research focuses on homogeneous dynamics and their applications to Diophantine approximation. With collaborators, he has made serious progress on several topics in Diophantine approximation, including badly approximable vectors, and multiplicative Diophantine approximation. His achievements in these areas have been published/accepted in high quality peer reviewed journals, which include Duke Mathematical Journal (accepted paper) and Geometric and Functional Analysis - GAFA (two papers: in 2019 and 2021).


上一篇:学术报告六十:马啸— Random semi-horseshoe for partially hyperbolic systems driven by an external force

下一篇:学术报告五十八:傅孝明—Computing Sparse Cone Singularities for Conformal Parameterizations

Baidu
sogou
澳门十大娱乐网站平台_百度百科 爱体育官方网站-安卓app下载 爱体育·(中国)官方网站 wellbet官网吉祥体育|中国有限公司 华体汇手机网址-华体汇网页登录网站 德甲联赛|亚博足球赞助
亚慱体育官方版APP下载|首页点击