Spencer BLOCH - Elliptic Curves Associated to Two-loop Graphs
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 29/11/2020

Amplitudes of one-loop graphs are known to be dilogarithms. What can one say about two-loop graphs? In a surprising number of cases, the motive of the second Symanzik of a two-loop graph involves (indeed, the motive is actually built around) the motive of an elliptic curve, suggesting some relation between the amplitude and elliptic polylogarithms. I will discuss a number of examples. This is joint work with C. Doran, M. Kerr, and P. Vanhove.


https://indico.math.cnrs.fr/event/4834/contributions/4771/attachments/2604/3282/SpencerBLOCH.pdf