Perturbative algebraic quantum field theory (pAQFT) is a rigorous framework for perturbative QFT, applicable also on curved spacetimes, which makes heavy use of microlocal analysis. The key idea is that through constructing extensions of certain distributions, one obtains time-ordered products of quantum fields. This becomes more complicated when symmetries are involved, e.g. in QED, Yang-Mills theories and gravity. In this talk I will explain how the idea of locality and application of homological algebra naturally lead to a construction known as BV formalism.
This talk is part of series of talks affiliated with the virtual Mittag-Leffler workshop "Scattering, microlocal analysis and renormalization", organized by Claudio Dappiaggi, Jacob Schach Møller and Michal Wrochna. The full schedule can be found at: