中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 荆一凡 博士（University of Oxford）
题 目：The nonabelian Brunn-Minkowski inequality
时 间：2022.04.14（星期四），15:00-17:00
地 点：腾讯会议：938-117-930
摘 要：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.