Title: Differential graded vertex operator algebras and their associated Poisson algebras.

Speaker: Antoine Caradot (Henan University)

Abstract: In this talk, we will define differential graded vertex (operator) algebras, a notion analogous to vertex (operator) algebras but where the underlying space is a differential complex. We will then describe the algebraic structures on the associated Zhu algebras and C2-algebras inherited from the complex structure. Finally, we will introduce the corresponding notions of modules, and investigate the relations between the different module categories. This is a joint work with Cuipo Jiang (Shanghai Jiao Tong University) and Zongzhu Lin (Kansas State University).