L-Functions, Automorphic Spectra, and the Conformal Bootstrap

Explore the deep connections between L-functions, automorphic spectra, and the conformal bootstrap in this advanced mathematical physics lecture delivered by D. Mazáč from IPhT, CEA-Saclay. Delve into the sophisticated mathematical framework that bridges number theory through L-functions, representation theory via automorphic spectra, and theoretical physics through conformal field theory techniques. Examine how these seemingly disparate mathematical areas intersect and inform each other, particularly in the context of conformal bootstrap methods. Discover the theoretical foundations and computational approaches that connect these fields, gaining insight into cutting-edge research at the intersection of pure mathematics and theoretical physics. Learn about the role of automorphic forms and their spectral properties in understanding conformal field theories, and understand how bootstrap techniques can be applied to extract meaningful information about these complex mathematical structures.