SO(3,R)中小集合的测度加倍

2023.08.03

投稿:龚惠英部门:理学院浏览次数:

活动信息

报告题目 (Title):Measure doubling for small sets in SO(3,R)(SO(3,R)中小集合的测度加倍)

报告人 (Speaker):荆一凡(University of Oxford)

报告时间 (Time):2023年8月7日(周一) 16:10-17:10

报告地点 (Place):校本部 F309

邀请人(Inviter):席东盟、李晋、张德凯

主办部门:理学院数学系

报告摘要:Let SO(3,R) be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure μ. Confirming a conjecture by Breuillard and Green, we show that if A is an open subset of SO(3,R) with sufficiently small measure, then μ(A^2 )>3.99μ(A). This is joint work with Chieu-Minh Tran (NUS) and Ruixiang Zhang (Berkeley).