Event

Talk
Feynman integrals from Fuchsian differential equations
Johannes Henn (Mainz)
8 Dec 2016, 10:30 – 11:30

It is well known that Feynman integrals satisfy Fuchsian differential equations. In general, solving the latter in closed form is a difficult problem. However, when the equations can be cast into a certain canonical form, identifying the solution in terms of special functions, such as multiple polylogarithms, becomes straightforward. In recent years, much progress was made in understanding how to find such a canonical form can be reached. A key tool are so-called leading singularities, i.e. multidimensional residues of the Feynman loop integrand. In this talk I will review these developments and mention open problems.