報(bào) 告 人:李晉 副教授
報(bào)告題目:Tensor valuations
報(bào)告時(shí)間:2024年11月30日(周六)10:00 - 11:00
報(bào)告地點(diǎn):靜遠(yuǎn)樓1508會(huì)議室
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡介:
李晉,上海大學(xué)副教授,上海大學(xué)博士畢業(yè),維也納工大(Vienna University of Technology)博后。入選上海市高層次青年人才計(jì)劃、奧地利Lise Meitner博士后計(jì)劃(2019-2021)。獲維也納工大數(shù)學(xué)教職工最佳論文獎(jiǎng)(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(fā)表多篇學(xué)術(shù)論文。
報(bào)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.