Amplitudes Seminar
Calabi-Yau geometries and modular forms arising from Feynman integrals
by
→
Europe/Berlin
Description
Feynman integrals hide a plethora of interesting geometries. In this talk, I will start by showing how this connection arises, and focus, in particular, on Calabi-Yau geometries. I will then present an integral with an underlying K3 surface: the three-loop banana integral with two unequal masses. The periods and the mirror map can be expressed in terms of ordinary modular forms and functions. I will then demonstrate how we can use ideas from cohomology to solve the integral in d=2-2 eps dimensions in terms of (integrals of) modular forms and functions.