Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Collection Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Organizer(s) Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Date(s) 16/11/2020 - 20/11/2020

linked URL https://indico.math.cnrs.fr/event/4834/

00:00:00 / 00:00:00

13 28

Elliptic Curves Associated to Two-loop Graphs

By Spencer Bloch

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.

Information about the video

Date of recording 18/11/2020
Date of publication 29/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

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