The two-loop hexagon Wilson loop in N=4 Super Yang-Mills

We discuss the computation of polygonal Wilson loops in planar N=4 Super Yang-Mills. The cornerstone of our approach is the Regge-exactness of polygonal Wilson loops, which allows us to reduce the complexity of the computation substantially. We illustrate this technique on the example of the hexagon Wilson loop. This computation allowed us recently to obtain for the first time an analytic remainder function for the six-edged Wilson loop in N=4 Super Yang-Mills.