报告题目：一.Tensor valuations of small order

报告人：李晋

邀请人：唐艳

报告时间：4月25日11；00

报告地点：启智楼80602会议室

参加人员：学院师生代表

报告摘要：Valuations are invariants that under scissors congruence. In this talk, I will present a complete classification of SL(n) contravariant, p-order tensor valuations on convex polytopes in R^n for n ≥ p without imposing additional assumptions, particularly omitting any symmetry requirements on the tensors. Beyond recovering known symmetric tensor valuations, our classification reveals asymmetric counterparts associated with the cross tensor and the Levi-Civita tensor. Additionally, some Minkowski type relations for these asymmetric tensor valuations will be represented, extending the classical Minkowski relation of surface area measures.

报告人简介：李晋，上海大学副教授，上海大学博士毕业，TU Wien (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）。主持国自然面上项目、青年基金（C类）项目。获TU Wien最佳论文奖（2017年度）。在Adv. Math.、Math. Ann.、J. Funct. Anal.、Trans. Amer. Math. Soc.、Int. Math. Res. Not.、Indiana Univ. Math. J.等发表多篇学术论文。