Automorphic forms, L-functions, and the conformal bootstrapConfirmed

by Dalimil Mazac (Saclay)

Tuesday Apr 21, 2026, 2:00 PM → 3:30 PM America/Toronto

PI/4-400 - Space Room (Perimeter Institute for Theoretical Physics)

I will review an analogy between spectral theory of automorphic forms on hyperbolic d-manifolds and conformal field theory in d-1 dimensions. Building on this analogy, I will use the conformal bootstrap to prove a new bound on certain triple product L-functions. I will discuss in which sense the conformal/automorphic bootstrap provides a complete axiomatization of the underlying objects.