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).