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.