主講人：Deping Ye， Professor of Memorial University of Newfoundl

時(shí)間：2023年5月26日10:00

地點(diǎn)：三號(hào)樓301室

舉辦單位：數(shù)理學(xué)院

主講人介紹：Deping Ye（葉德平），2000年本科畢業(yè)于山東大學(xué)，2000-2003年在浙江大學(xué)讀研，2009年博士畢業(yè)于美國(guó)Case Western Reserve University，現(xiàn)任職于加拿大Memorial University of Newfoundland，并主持加拿大國(guó)家自然科學(xué)基金(NSERC)。于2017年獲得JMAA Ames獎(jiǎng)。長(zhǎng)期從事凸幾何分析，幾何和泛函不等式，隨機(jī)矩陣，量子信息理論，和統(tǒng)計(jì)學(xué)等領(lǐng)域的研究。已在國(guó)際著名雜志J. Funct. Anal.，Calc. Var. Partial Differential Equations，Adv. Math., Comm. Pure Appl. Math., Math. Ann.,等發(fā)表論文近40篇。

內(nèi)容介紹：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.