Lecture Event
Modular forms from Feynman integrals
Dr. David Broadhurst
8 Jun 2011, 12:00 – 13:00
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
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