July 19: BV formalism and perturbative gauge theory

Si Li

Renormalization is the key concept in quantum field theory. In this talk, I'll discuss somes basic ideas of renormalization in the perturbative quantum field theory. I will focus on the Batalin-Vilkovisky geometry and discuss Costello's obstruction theoritic formulation of perturbative renormalization of gauge theory. I'll explain some examples how this construction leads to interesting geometric invariants.