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。