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数统华章2025系列48 Stable equivalences and homological dimensions of centralizer matrix algebras

来源: 发布时间: 2025-10-09 点击量:
  • 讲座人: 惠昌常 教授
  • 讲座日期: 2025-10-10(周五)
  • 讲座时间: 16:00
  • 地点: 文津楼3211

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:

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.

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