2-dimensional quantitative Schmidt's conjecture

2024-08-05 16:38:44

时间:2024年8月6日(星期二)14:00-15:00

地点:西湖大学云谷校区E4-201


主讲人:Chengyang Wu, Peking University

报告题目:2-dimensional quantitative Schmidt's conjecture

报告摘要:We prove that there exists a well-chosen sequence of constants such that, for any countable collection of weight, the countable intersection of the corresponding sets of 2-dimensional badly approximable vectors is non-empty. As a consequence, we establish a quantitative Schmidt's conjecture, which has a close connection to the famous Littlewood's conjecture.