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吕为国博士学术报告

  发布日期:2021-12-08  浏览量:10

报告题目:Quasi differential calculi and cyclic opposite  operad modules with pairingwith applications to   hom-associative algebras

报告专家: 吕为国中国科学技术大学

报告时间: 20211211(),10:30-11:20

报告地点:理工HH113

报告摘要We show that a cyclic opposite operad module over a nonsymmetric operad with multiplicationgives rise to a quasi differential calculus structure at the chain level and thus a Tamarkin-Tsygan calculus at the homology level. We define cyclic opposite modules with pairing and show that in this case the cochain complex of the nonsymmetric operads with multiplication is a Quesney homotopy Batalin-Vilkovisky(BV for short) algebraand thus its cohomology  is a  BV algebra.We apply our results to hom-associative algebras. We prove that the Hochschild homology and cohomology complexes of a strictly unital Hom-associative algebra form a quasi differential calculus. As a consequence, we deduce that the Hochschild homology and cohomology form a differential calculus.    Furthermore, we also define a Hom-symmetric Frobenius algebra and prove that its Hochschild cochain complex is Quesney homotopy BV algebra, whose    cohomology becomes a BV algebra.joint work with  Yu Ye and Guodong Zhou

欢迎各位老师、同学届时前往!

数学科学学院

2021128

专家简介:吕为国,中国科学技术大学博士后。20196月毕业于华东师范大学数学科学学院,获得理学博士学位,主要研究Hochschild 上同调理论,发表多SCI论文。


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