Kasia Rejzner - Renormalization in perturbative algebraic quantum field theory, Lecture 2

This talk was part of the of the Master Class and Workshop on "Higher Structures Emerging from Renormalisation" held at the ESI November 8 - 19, 2021.

In this series of lectures I will introduce perturbative algebraic quantum field theory (pAQFT), which is a rigorous framework for constructing interacting QFT models. It uses a formulation of renormalization called Epstein-Glaser renormalization, where no "infinities" are needed and the computation of physical quantities proceeds through the process of extending certain distributions. I will also explain how to incorporate the homological framework of the BV (Batalin-Vilkovisky) formalism into pAQFT and if time permits I will discuss gauge theories.