報 告 人:李晉 副教授
報告題目:Tensor valuations
報告時間:2024年11月30日(周六)10:00 - 11:00
報告地點:靜遠樓1508會議室
主辦單位:數學與統計學院、數學研究院、科學技術研究院
報告人簡介:
李晉,上海大學副教授,上海大學博士畢業,維也納工大(Vienna University of Technology)博后。入選上海市高層次青年人才計劃、奧地利Lise Meitner博士后計劃(2019-2021)。獲維也納工大數學教職工最佳論文獎(2017年度)。在在國際著名期刊Adv. Math.、Trans. Amer. Math. Soc.、J. Funct. Anal.、Int. Math. Res. Not.、Indiana Univ. Math. J.等發表多篇學術論文。
報告摘要:
Valuations are pivotal invariants in addressing Hilbert's third problem. Most previous studies on tensor valued valuations only focus on symmetric tensors, for example, Minkowski tensors and their local versions. There seems to be no quite clear picture of asymmetric-tensor valued valuations. In this talk, I will present some classifications of tensor valued affine valuations including the asymmetric cases that connect with the cross-product. The talk is based on joint work with Dan Ma.