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

Multiple polylogarithms in cyclotomic fields and subfields

26 May 2015, 11:00
45m
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

David Broadhurst

Description

Single-scale Feynman diagrams evaluate to periods that may (but need not) be multiple polylogarithms with arguments in algebraic number fields, such as Nth roots of unity, with N=1,2,6 being prominent. In this introductory talk I shall give examples of such evaluations and give evidence for some new conjectures, in real subfields of cyclotomic fields, that have emerged from recent discussion with Pierre Deligne. I hope to pursue the latter as the workshop progresses.

Presentation materials