報(bào)告人：熊革 教授

報(bào)告題目：The optimal quadratic estimate for the cone-volume measure of antipodal points and its applications.

報(bào)告時(shí)間：2025年10月25日（周六）8:30-9:20

報(bào)告地點(diǎn)：云龍校區(qū)6號(hào)樓304會(huì)議室

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

熊革，同濟(jì)大學(xué)長(zhǎng)聘教授。主要研究凸幾何、積分幾何。在凸體幾何領(lǐng)域解決Lutwak-Yang-Zhang猜想空間維數(shù)n=2, 3 的情形，建立Orlicz-John橢球理論，完全解決了R^3中體積分解泛函的極值問(wèn)題。相關(guān)成果發(fā)表于 Advances in Mathematics、Journal of Differential Geometry、Calculus of Variations and PDEs、Communications in Analysis and Geometry等期刊。

報(bào)告摘要：

The optimal quadratic estimate for the cone-volume measure of antipodal points of convex bodies in R^n is obtained. As effective applications of this estimate, we establish the strong Minkowski and Brunn-Minkowski inequalities in R^n. This talk is based on the joint work with Yu-De LIU and Kai-Wen Yang.