Gefördert durch die
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Forschungsgemeinschaft

Veranstaltung

Vortragsveranstaltung
Modular forms from Feynman integrals
Dr. David Broadhurst
8.6.2011, 12:00 Uhr – 13:00 Uhr

Francis Brown and Oliver Schnetz have identified an 8-loop Feynman diagram whose period is considered unlikely to be reducible to polylogarithms. The obstacle to such a reduction is a singular K3 surface, obtained from the first Symanzik polynomial. In this talk, I shall consider massive Feynman integrals, with K3 surfaces obtained from the second Symanzik polynomial. Remarkable relations have been discovered between the values of these integrals and L-functions of modular forms whose Fourier coefficients enumerate zeros of polynomials in finite fields.

http://www.raumzeitmaterie.de/docs/AGS_DJB.pdf

Verknüpft mit:

• David Broadhurst

Vortragsveranstaltungen 2011