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The ??-sine Blaschke-Santalo inequality

发布者:文明办发布时间:2022-12-22浏览次数:10


主讲人:黄卿中 嘉兴学院副教授


时间:2022年12月24日15:00


地点:腾讯会议 850 6441 4458


举办单位:数理学院


主讲人介绍:黄卿中,2014 年获上海大学博士学位,2018 年至2020 年在加拿 大纽芬兰纪念大学任AARMS 博士后研究员,2014 年至今在嘉兴学院任教, 曾入选第三批嘉兴市杰出人才(第二层次)培养人员,首批浙江省高校领军 人才培养计划(青年优秀人才)。主要从事凸几何分析的研究,曾主持一项数 学天元基金项目,一项国家青年基金项目,获得过浙江省数学会科研成果二 等奖。论文发表在《Adv. Math.》,《J. Funct. Anal.》,《J. Lond. Math. Soc.》, 《Int. Math. Res. Not.》,《Indiana Univ. Math. J.》,《Discrete Comput. Geom.》 等杂志上。


内容介绍: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.