讲座人简介：

惠昌常，代数学专家，博士生导师，首都师范大学特聘教授，教育部高层次特聘教授。1989年在联邦德国Bielefeld大学获博士学位，导师是国际著名代数表示论专家Claus Michael Ringel教授。曾在德国、英国、日本、美国、香港、等10多个国家和地区进行学术访问或合作科研。曾获教育部科技进步奖二等奖、德国“年轻杰出学者洪堡奖”。主持有国家自然科学基金重点项目等。担任《J. Algebra》、《Archiv der Math.》、《Asia-Euro. J. Math.》、《J. Math. Research Appl.》等国际期刊的编委。

讲座简介：

Every finite-dimensional algebra over a field can be realized as the centralizer algebra of two matrices. This suggests to study finite-dimensional algebras and their related topics by centralizer algebras of matrices. In this talk, we investigate the centralizer algebra of a matrix. Such an algebra is called a centralizer matrix algebra. A characterization of the equivalence of singularity categories is presented for centralizer matrix algebras. Moreover, we show that some homological conjectures hold true for centralizer matrix algebras. This talk reports on work jointly with Zhenxian Chen.