PIRSA:26040093

Video URL

https://pirsa.org/26040093

Automorphic forms, L-functions, and the conformal bootstrap

Mazac, D. (2026). Automorphic forms, L-functions, and the conformal bootstrap. Perimeter Institute for Theoretical Physics. https://pirsa.org/26040093

Mazac, Dalimil. Automorphic forms, L-functions, and the conformal bootstrap. Perimeter Institute for Theoretical Physics, Apr. 21, 2026, https://pirsa.org/26040093 

          @misc{ scivideos_PIRSA:26040093,
            doi = {10.48660/26040093},
            url = {https://pirsa.org/26040093},
            author = {Mazac, Dalimil},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Automorphic forms, L-functions, and the conformal bootstrap},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {apr},
            note = {PIRSA:26040093 see, \url{https://scivideos.org/pirsa/26040093}}
          }

Dalimil Mazac CEA Saclay

Talk numberPIRSA:26040093
DOI10.48660/26040093
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.