報告題目: A few new equivalence relations on all square matrices

報告人:惠昌常

報告時間: 2024年11月1日 15:00-17:00

報告地點:數學與統(tǒng)計學院四樓會議室

專家簡介:

惠昌常,，首都師范大學特聘教授，博士生導師,，長江學者特聘教授,，博士畢業(yè)于聯(lián)邦德國Bielefeld大學；曾獲教育部科技進步二等獎,、德國“年輕杰出學者洪堡獎”,；在代數表示論、同調代數,、導出范疇,、代數K-理論等學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.等國際數學刊物發(fā)表論文90多篇,，多次在國際代數學術會議作大會報告、主持和參加國家自然科學基金重點項目,；任《Journal of Algebra》,、《Archiv der Mathematik》等國際數學雜志編委。

主講內容:

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.

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