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数学学院、所2021年系列学术活动(第75场):王凯 博士 华东师范大学

发表于: 2021-06-15   点击: 

报告题目:Formal deformations and cohomology theory of Rota-Baxter algebras of any weight

报 告 人:王凯博士 华东师范大学

报告时间:2021年6月17日 10:30-11:30

报告地点:腾讯会议:185 322 986

校内联系人:唐荣 tangrong@jlu.edu.cn


报告摘要:Deformation theory of algebraic structures originates from Gerstenhaber’s pioneering work in 1963. Differential graded Lie algebras, or L-infty-algebras in gereral, play crucial roles in deformation theory. In this talk, we will introduce a cohomology theory for Rota-Baxter algebras of any weight. And we will see that lower degree cohomology groups control the formal deformations of Rota-Baxter algebras . We make explicit the L-infty-algebra structure over the cochain complex defining cohomology groups and introduce the notion of homotopy Rota-Baxter algebras as Maurer-Cartan elements of this L-infty-algebra.


报告人简介:王凯,博士毕业于中国科学院,现在在华东师范大学做博士后。