On the higher order affine isoperimetric and affine Sobolev inequalities

主讲人：Deping Ye， Professor of Memorial University of Newfoundl

时间：2023年5月26日10:00

地点：三号楼301室

举办单位：数理学院

主讲人介绍：Deping Ye（叶德平），2000年本科毕业于山东大学，2000-2003年在浙江大学读研，2009年博士毕业于美国Case Western Reserve University，现任职于加拿大Memorial University of Newfoundland，并主持加拿大国家自然科学基金(NSERC)。于2017年获得JMAA Ames奖。长期从事凸几何分析，几何和泛函不等式，随机矩阵，量子信息理论，和统计学等领域的研究。已在国际著名杂志J. Funct. Anal.，Calc. Var. Partial Differential Equations，Adv. Math., Comm. Pure Appl. Math., Math. Ann.,等发表论文近40篇。

内容介绍：The covariogram function of a convex body naturally defines many central objects in convex geometry, such as the difference body and Petty projection body. By extending the covariogram function of a convex body to a higher order setting, we can define the higher order version of the difference body and Petty projection body. In this talk I will explain how to get this extension done. Moreover, I will talk about our new affine isoperimetric and affine Sobolev inequalities in the higher order setting.