Automorphic Representations in String Amplitudes

Explore a 59-minute conference talk from the Arithmetic Quantum Field Theory Conference where Axel Kleinschmidt from MPI delves into the emergence of automorphic representations within string scattering amplitudes. Discover the fundamental connection between wavefront sets and BPS conditions as established by Green/Miller/Vanhove, and learn about reduction principles for calculating Fourier coefficients. Examine how string theory introduces novel automorphic objects characterized by their unique property of lacking finiteness under the center of the universal enveloping algebra.