*主持人：刘博 教授

*讲座内容简介：

In this talk, we will introduce the mean width inequalities of sections and projections for isotropic measures with complete equality conditions which is established by a direct approach. This approach contains some techniques like the Ball–Barthe inequality, the mass transportation, and the isotropic embedding. Our result extends the recent work of the mean width about sections and projections of convex bodies in the John (Lowner) position. To prove our result, a continuous form of the Prekopa-Leindler inequality is provided.

*主讲人简介：

李爱军，博士，美国纽约大学理工学院博士后，现浙江科技学院教授，硕士研究生导师，美国数学评论评论员，主要从事凸几何分析和不等式理论的研究，2015年6月应邀参加了加拿大数学年会并做报告，2019年6月应邀参加在清华大学举办的第八届华人数学家大会(ICCM)，并做45分钟邀请报告。主持完成国家级项目一项，参与完成一项。先后在Adv. Math., J. London Math. Soc., J. Geom. Anal., IMRN, Math. Z.等杂志上发表SCI论文三十篇。