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05-17【周国栋】腾讯会议 吴文俊数学重点实验室代数学系列报告之187

题目:Algebraic Morse theory via homological perturbation lemma   with applications to Chinese algebras



报告人:周国栋,华东师范大学


时间:2021年05月17日(星期一) 14:45-16:45 (GMT+08:00) 中国标准时间 - 北京



点击链接入会,或添加至会议列表:

https://meeting.tencent.com/s/XrdAiD1XMm9G


会议 ID:763 328 715

会议密码:210517



摘要:As a generalization of the classical killing-contractible-complex lemma, we present algebraic Morse theory  via homological perturbation theory, in a form more general than existing presentations in the literature. We also give a criterion for the two-sided Anick resolution to be a minimal resolution. At last, we apply algebraic Morse theory to Chinese algebras and show that a Chinese algebras of rank $n$ is homologically smooth and of global dimension $\frac{n(n+1)}{2}$.


中国科学院吴文俊数学重点实验室