V. Schomerus

Title: “Conformal Fourier analysis”

Abstract: Over the last 20 years the study of higher dimensional (super-)conformal field theories has been a source of insight into perturbative and non-perturbative dynamics of quantum field theory. Fourier analysis for conformal symmetry is designed to extract the rich dynamical content from correlation functions of local and non-local operators. I will present the mathematical foundations of (super-) conformal Fourier analysis, including its close ties with the study of quantum integrable systems, and highlight a few applications.