Homological properties of some noncommutative products of Algebras
报告人:吴泉水教授(复旦大学数学科学学院)
报告时间:2021年4月23日9:00
报告地点:数学学院A302
主办单位:数学学院
报告人简介:
吴泉水,复旦大学数学科学学院教授、博士生导师,现任上海数学中心执行主任、教育部数学教学指导委员会副主任委员,曾任复旦大学数学科学学院院长;吴泉水教授主要从事非交换环论、非交换射影代数几何、Hopf代数的同调理论等方面的研究,曾解决所在领域的几个公开问题和猜想,在包括Duke Mathematical Journal、Transactions of American Mathematical Society、Journal of Algebra等国际著名期刊发表论文,多次获得教育部、上海市的科技奖励与荣誉称号,先后担任《Communication in Algebra》、《Algebra Colloquium》等多个学术期刊的编委。
报告摘要:
Abstract: Algebras are supposed to describe spaces as functions. As tensor products of algebras corresponding to the usual products for spaces, some noncommutative constructions of algebras are viewed as the functions of the imaginary noncommutative products of spaces. We try to study the regularity or Gorenstein property of some noncommutative constructions of algebras. In the talk I will start from basic definitions and some general ideas, then I will introduce some related results obtained recently.