Copolar sets of pseudo-cones

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:李晋(上海大学)
:2024-07-10 16:00
:海韵园数理大楼686会议室

报告人:李晋(上海大学)

 间:202471016:00

 点:海韵园数理大楼686会议室

内容摘要:

In this talk, I will present some properties of pseudo-cones and copolar sets and prove that copolarity is essentially the only abstract duality on pseudo-cones. It is analogue to polarity on convex bodies; see Gruber [Abh. Math. Sem. Univ. Hamburg 1992], Bo ̈r ̈oczky and Schneider [Geom. Funct. Anal 2008] and Schneider [Beitra ̈ge Algebra Geom. 2008]. Our result may also be understood as a counterpart of the characterization of Legendre transforms and A-transforms of convex functions; see Artstein-Avidan and Milman [AIMS Announcements 2007; Ann. of Math. 2009; J. Eur. Math. Soc. 2011] and Cheng and Luo [Sci. China Math. 2021; J. Math. Anal. Appl. 2022]. However, we do not need to assume a lattice duality is bijective to characterize copolarity. The talk is based on joint work with Gangsong Leng and Yun. 

人简介

李晋,上海大学副教授。上海大学博士毕业,维也纳工大(Vienna University of Technology)博后。入选上海市高层次青年人才计划、奥地利Lise Meitner博士后计划(2019-2021)。获维也纳工大数学教职工最佳论文奖(2017年度)。在国际著名期刊Adv. Math.Trans. Amer. Math. Soc.J. Funct. Anal.Int. Math. Res. Not.Indiana Univ. Math. J.等发表多篇学术论文。

 

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