報(bào)告題目: A few new equivalence relations on all square matrices

報(bào)告人:惠昌常

報(bào)告時(shí)間: 2024年11月1日 15:00-17:00

報(bào)告地點(diǎn):數(shù)學(xué)與統(tǒng)計(jì)學(xué)院四樓會(huì)議室

專(zhuān)家簡(jiǎn)介:

惠昌常，首都師范大學(xué)特聘教授，博士生導(dǎo)師，長(zhǎng)江學(xué)者特聘教授，博士畢業(yè)于聯(lián)邦德國(guó)Bielefeld大學(xué)；曾獲教育部科技進(jìn)步二等獎(jiǎng)、德國(guó)“年輕杰出學(xué)者洪堡獎(jiǎng)”；在代數(shù)表示論、同調(diào)代數(shù)、導(dǎo)出范疇、代數(shù)K-理論等學(xué)科取得了出色的研究成果, 在Adv.Math、J.Rein Ang.Math、Proc.LMS、Tran AMS、Math.Ann、Comm.Math.Phys.、Sci.China Math.等國(guó)際數(shù)學(xué)刊物發(fā)表論文90多篇，多次在國(guó)際代數(shù)學(xué)術(shù)會(huì)議作大會(huì)報(bào)告、主持和參加國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目；任《Journal of Algebra》、《Archiv der Mathematik》等國(guó)際數(shù)學(xué)雜志編委。

主講內(nèi)容:

In this talk, a few new equivalence relations are introduced for all square matrices over a field. This is given by elementary divisors of matrices. With these equivalence relations in hand, Morita and derived equivalences of the centralizer matrix algebras are characterized. Thus the study of categorical equivalences are reduced to that of problems in linear algebra. For more details, we refer to a recent work jointly with X.G. Li, see arXiv:2312.08794.

.