Towards Microlocal Analysis of Feynman Integrals

In this talk I'll present the first steps towards a microlocal analysis of Feynman integrals. This approach aims to describe both the integrand and integral as distributions, this is dual to the algebraic D-module approach which studies the PDEs the integral satisfies rather than the integral itself. The goal of this talk is to introduce some of the tools needed to embark on this journey, culminating in the definition and explicit construction of the microlocal set of singularities (i.e. wave front set) for some of the ingredients of the Feynman integral.