Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	荆一凡博士，University of Oxford
Inviter:
Title:	The nonabelian Brunn-Minkowski inequality
Time & Venue:	2022.04.14 15:00-17:00 腾讯会议：938-117-930
Abstract:	Henstock and Macbeath asked in 1953 whether the Brunn-Minkowski inequality can be generalized to nonabelian locally compact groups; questions in the same line were also asked by Hrushovski, McCrudden, and Tao. We obtain here such inequality and prove that it is sharp for a large class of groups (including linear algebraic groups, solvable groups, etc). I will also discuss a measure growth phenomenon for sets with sufficiently small measures inside compact groups. Based on joint work with Chieu-Minh Tran and Ruixiang Zhang.