报告题目 (Title)：Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem
中文标题: 紧半单李群中的测度增长与Kemperman逆问题
报告人 (Speaker)：Chieu-Minh Tran（National University of Singapore）
报告时间 (Time)：2023年8月7日(周一) 15:00-16:00
报告地点 (Place)：上海大学宝山校区F309
邀请人(Inviter)：席东盟、李晋、张德凯
报告摘要：Suppose G is a compact semisimple Lie group, is the normalized Haar measure on G, and ⊆G are measurable. We show that with the absolute constant (independent from the choice of G) quantitatively determined. This is the continuous counterpart of celebrated product theorems by Helfgott, Pyber-Szabo, and Breuillard-Green-Tao. We also show a more general result for abstractly semisimple connected compact groups and resolve the Kemperman Inverse Problem from 1964. (Joint with Jing Yifan).