Iterated Integrals of Modular Forms in String Theory

Explore the intricate connection between closed string scattering amplitudes and non-holomorphic modular forms in this 57-minute lecture by Axel Kleinschmidt at the Hausdorff Center for Mathematics. Delve into the low-energy expansion of one-loop order amplitudes and their expression through iterated Eichler type integrals of holomorphic modular forms. Examine the concept of multiple modular values introduced by F. Brown and gain insights into the physics perspective on these mathematical structures. Learn about the collaborative research efforts with Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt, Martijn Hidding, Oliver Schlotterer, Leila Schneps, and Bram Verbeek, as they unravel the complexities of modular forms in string theory.

Axel Kleinschmidt: Iterated integrals of modular forms in string theory