一、题目

The volume decomposition functionals of polytopes

二、主讲人

熊革教授

三、摘要

In this talk, I will introduce our very recent work on the geometry of polytopes. We prove that the nth power of the volume functional V_n of polytopes P in R^n, according to dimensions of the spaces spanned by any n outer normal unit vectors of P, is naturally decomposed into n homogeneous polynomials with degree n. Several new sharp affine isoperimetric inequalities for these functionals are established, which essentially characterize the geometric and algebraic structures of polytopes.

四、主讲人简介

熊革，同济大学教授、博士生导师。主要研究凸体几何。解决了凸体几何中的几个重要公开问题，在纯数学的国际重要期刊如JDG, Adv. Math., JFA, CVPDE, IUMJ, IMRN, CAG, DCG, JGA等上发表文章20余篇。他的研究成果或被写入凸体几何的经典教材中，或被国外同行在学术报告中介绍，或被发表在数学国际顶尖期刊JAMS上的文章引用和正面评价。

五、邀请人

赵立璐 数学学院教授

六、时间

10月27日（周二）9:00-10:00

七、地点

腾讯会议，会议ID：428 490 923

八、主办方

山东大学数学学院