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伟德线上平台、所2021年系列學術活動(第75場):王凱 博士 華東師範大學

發表于: 2021-06-15   點擊: 

報告題目:Formal deformations and cohomology theory of Rota-Baxter algebras of any weight

報 告 人:王凱博士 華東師範大學

報告時間:2021年6月17日 10:30-11:30

報告地點:騰訊會議:185 322 986

校内聯系人:唐榮 tangrong@jlu.edu.cn


報告摘要: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.


報告人簡介:王凱,博士畢業于中國科學院,現在在華東師範大學做博士後。


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