26 May 2015 to 12 June 2015
Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University
Europe/Berlin timezone

The Galois coaction on phi4 periods

3 Jun 2015, 16:00
40m
02.430 (Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University

Staudingerweg 9 / 2<sup>nd</sup> floor 55128 Mainz

Speaker

Oliver Schnetz

Description

The periods of primitive divergent phi4 graphs are renormalization scheme independent contributions to the phi4 beta function. They are mathematical periods in the sense of Kontsevich and Zagier. By general principles there exists a Galois coaction on these numbers. Recently it has become possible to calculate more than 300 distinct periods of graphs up to 11 loops. The analysis of these data leads to two (possibly false) conjectures on the coaction structure of phi4 periods.

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