講座人簡(jiǎn)介：

惠昌常，代數(shù)學(xué)專(zhuān)家，博士生導(dǎo)師，首都師范大學(xué)特聘教授，教育部特聘教授。1989年在聯(lián)邦德國(guó)Bielefeld大學(xué)獲博士學(xué)位，導(dǎo)師是國(guó)際著名代數(shù)表示論專(zhuān)家Claus Michael Ringel教授。曾在德國(guó)、英國(guó)、日本、美國(guó)、香港、等10多個(gè)國(guó)家和地區(qū)進(jìn)行學(xué)術(shù)訪(fǎng)問(wèn)或合作科研。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)”。主持有國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目等。擔(dān)任《J. Algebra》、《Archiv der Math.》、《Asia-Euro. J. Math.》、《J. Math. Research Appl.》等國(guó)際期刊的編委。

講座簡(jiǎn)介：

Stable equivalence of algebras is one of the fundamental equivalence relations in the representation theory of algebras. If two algebras have equivalent stable module categories, then they are said to be stably equivalent. Compared with other equivalences like Morita or derived equivalences, stable equivalences of algebras have not any characterizations known in terms of bimodules. This makes the study of stable equivalences much more difficult. Especially, it is hard to see whether two algebras are stably equivalent. In this talk, however, we shall present a characterization of stable equivalences between centralizer matrix algebras in terms of matrix equivalences. This talk reports parts of a joint work with Xiaogang Li.