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.