Characterizations of Legendre transforms


主讲人:李晋 上海大学副教授


地点:腾讯会议 850 6441 4458


主讲人介绍:李晋,上海大学副教授,上海大学博士毕业,维也纳工大博后。入选上海市高层次青年人才计划、奥地利Lise Meitner博士后计划(2022-2021)。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。

内容介绍:Characterizations of Legendre transforms via the concept of duality were established by Artstein-Avidan and Milman [Ann. of Math. 2009]. One of the key points in their study is that dualities are “strong” valuations, namely, the “maximum” and the “minimum” of functions are interchanged. In this talk, I will present some new characterizations of Legendre transforms in the affine theory of valuations.