Time:14:00-15:00, Tuesday, August 6, 2024
Venue:E4-201, Yungu Campus
Speaker:Chengyang Wu, Peking University
Title:2-dimensional quantitative Schmidt's conjecture
Abstract: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.
