Title: Contiguous relations for Feynman (and other) integrals
Abstract: Difference equations with respect to parameters are a fundamental property of hypergeometric functions. Similar difference equations for Feynman integrals in physics are exploited to simplify perturbative calculations, and also useful to evaluate Feynman integrals themselves. I will discuss contiguous relations from the point of view of integral representations of Euler-Mellin type, which covers Feynman integrals and many classical hypergeometric functions. After reviewing some general aspects, I will explain 3 different approaches to compute contiguous relations, one of which uses bases of logarithmic forms for twisted de Rham cohomology, and another being a bootstrap procedure utilizing the structure of singularities.
Zoom link: IPPP Seminars (Friday at 2 pm UK time)
Meeting ID: 994 2012 4988