16-20 November 2020
IHES
Europe/Paris timezone

Elliptic Curves Associated to Two-loop Graphs

18 Nov 2020, 17:20
50m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speaker

Prof. Spencer BLOCH (University of Chicago)

Description

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.

Presentation Materials