主講人：熊革 同濟(jì)大學(xué)教授

時(shí)間：2022年12月25日14：00

地點(diǎn)：騰訊會(huì)議 850 6441 4458

舉辦單位：數(shù)理學(xué)院

主講人介紹：熊革，同濟(jì)大學(xué)教授、博士生導(dǎo)師。主要研究凸體幾何。他解決了? 靜電容量的Minkowski問(wèn)題；提出并證明了“? transference principle”， 對(duì)? Brunn-Minkowski 型不等式進(jìn)行了統(tǒng)一處理。他解決了凸體幾何中的幾個(gè)公開(kāi)問(wèn)題，包括錐體積泛函仿射極值的 Lutwak-Yang-Zhang 公開(kāi)問(wèn)題的2，3維情形；由截面確定凸體的 Baker-Larman 公開(kāi)問(wèn)題的2維情形；完全解決了 G. Zhang 關(guān)于凸體的 John 橢球與對(duì)偶慣性橢球的一致性問(wèn)題。 他在國(guó)際純數(shù)學(xué)重要期刊如 JDG，Adv. Math.，JFA，CVPDE，IUMJ，IMRN， CAG，Israel J. Math.，DCG，BLMS 等發(fā)表論文近30篇。

內(nèi)容介紹：It is known that there exists a unique ellipsoid of maximal volume inside a convex body (a compact convex set with non-empty interiors) in ?? . This ellipsoid is called John ellipsoid (named after mathematician Fritz John), and has many applications in convex geometry, functional analysis, and optimizations. In this talk, I will summarize our various work related to John ellipsoid. This work has been an important topic for our group over the past 10 years.