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The ??-sine Blaschke-Santalo inequality

發(fā)布者:文明辦發(fā)布時(shí)間:2022-12-22瀏覽次數(shù):836


主講人:黃卿中 嘉興學(xué)院副教授


時(shí)間:2022年12月24日15:00


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:黃卿中,2014 年獲上海大學(xué)博士學(xué)位,2018 年至2020 年在加拿 大紐芬蘭紀(jì)念大學(xué)任AARMS 博士后研究員,2014 年至今在嘉興學(xué)院任教, 曾入選第三批嘉興市杰出人才(第二層次)培養(yǎng)人員,首批浙江省高校領(lǐng)軍 人才培養(yǎng)計(jì)劃(青年優(yōu)秀人才)。主要從事凸幾何分析的研究,曾主持一項(xiàng)數(shù) 學(xué)天元基金項(xiàng)目,一項(xiàng)國(guó)家青年基金項(xiàng)目,獲得過(guò)浙江省數(shù)學(xué)會(huì)科研成果二 等獎(jiǎng)。論文發(fā)表在《Adv. Math.》,《J. Funct. Anal.》,《J. Lond. Math. Soc.》, 《Int. Math. Res. Not.》,《Indiana Univ. Math. J.》,《Discrete Comput. Geom.》 等雜志上。


內(nèi)容介紹:In this talk, I will present our recent work on the ??-sine Blaschke- Santalo inequality, which can be viewed as the “sine cousin” of the ?? Blaschke-Santalo inequality established by Lutwak and Zhang. Interestingly, if ? → ∞, then the limit of Λ becomes the sine polar body ?? and this new ? -sine Blaschke-Santalo inequality reduces to the sine Blaschke- Santalo inequality for the sine polar body, which can also be viewed as the “sine cousin” of the celebrated Blaschke-Santalo inequality. This talk is based on the joint work with Ai-jun Li, Dongmeng Xi and Deping Ye.