讲座内容简介：

In this talk, we introduce the concept of a weighted infinitesimal bialgebra to unify the two versions of infinitesimal bialgebras introduced respectively by Joni-Rota and Loday-Ronco, and then combine it with the concept of an operated algebra. By a construction of the suitable coproducts, we also show that some well-known associative algebras possess a weighted infinitesimal bialgebraic structure, such as path algebras, polynomial algebras and matrix algebras.

The interaction between studies in pure mathematics and mathematical physics has long been a rich source of inspirations that benefited both fields. This talk arose from an attempt to connect these two fields by establishing connections between weighted infinitesimal bialgebras, weighted quasitriangular infinitesimal bialgebras, weighted associative Yang-Baxter equations, pre-Lie algebras, Rota-Baxter algebras and dendriform algebras.

讲座人简介：

张毅，男，兰州大学在读博士生。研究兴趣包括代数组合，数学物理，表示理论，Hopf代数和丛代数。