標(biāo)題：Stable equivalences of centralizer algebras
報(bào)告時(shí)間：2025年11月14日（星期五）9:30-10:30
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院104室
主講人：惠昌常
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
As is known, every finite-dimensional algebra over a field is isomorphic to the centralizer algebra of two matrices. This gives a different view point to look at general finite-dimensional algebras and related topics. It is fundamental to consider first the centralizer algebra of one matrix, called a centralizer matrix algebra. In this talk we study the stable equivalences of centralizer matrix algebras. One of the major problems is to decide when such two algebras are stably equivalent. We shall present a complete characterization of stable equivalences for centralizer matrix algebras. This talk reports a work jointly with Xiaogang Li.
主講人簡(jiǎn)介：
惠昌常，首都師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授、博士生導(dǎo)師，國(guó)家級(jí)高層次領(lǐng)軍人才。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)”。2013年獲批主持國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目。主要研究領(lǐng)域?yàn)榇鷶?shù)表示論和同調(diào)代數(shù), 在同調(diào)維數(shù)、胞腔代數(shù)、擬遺傳代數(shù)、Brauer代數(shù)、導(dǎo)出等價(jià)和穩(wěn)定等價(jià)、無(wú)限傾斜理論等方面取得了出色的成績(jī)。在《Adv. Math.》、 《Proc. Lond. Math. Soc.》、《Trans. Amer. Math. Soc.》、《Math. Z.》、《Israel J. Math.》、《J. Algebra》等雜志發(fā)表80余篇論文，并擔(dān)任《J. Algebra》、《Arch. Math.》等雜志編委。
