*主持人：周国栋 教授

*讲座内容简介：
Let M be a manifold, E=TM+T*M and C(E) be the Clifford bundle. The differential forms on M is the spin representation of C(E). The Lie bracket on sections of TM can be extended to sections of the bundle E by defining {e_1,e_2}=[[d,e_1],e_2], where both sides are viewed as operators on differential forms and d is the de-Rham differential operator. If considering the general Clifford bundle, Dirac generating operators playing as d are certain first order linear differential operators on the section of spin representation. In this talk, we will introduce the Dirac generating operators of Lie bialgebroids and generalize it to the proto-Lie bialgebroids. This talk is based on joint works with Chen-Lang-Xiang.

*主讲人简介：
蔡立强，河南大学数学与统计学院讲师。2013年6月在首都师范大学数学科学学院获得理学硕士学位，2016年6月在吉林大学数学学院获得理学博士学位。主要研究兴趣是数学物理和非线性李理论。主持完成国家自然科学基金青年项目。