中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
动力系统研讨班
Speaker: 荆一凡（Ohio State University）
Inviter: 何伟鲲
Language: Chinese
Title: Measure doubling for small sets in compact Lie groups
Time & Venue: 2026年1月13日（星期二） 14: 00-15:00 & N820
Abstract: A central problem in additive combinatorics is to understand how the size of a sumset (or product set) compares to the size of the original set, and to describe the underlying structure when this "doubling" is small. In this talk, I will survey some classical results in the area and discuss recent developments in the setting of compact Lie groups, based on joint work with Chieu-Minh Tran and Simon Machado.