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。