PIRSA:26040093 Scientific Series Quantum Fields and Strings

DOI10.48660/26040093

Series: Quantum Fields and Strings

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

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

@misc{ pirsa_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},
  year = {2026},
  month = {apr},
  note = {PIRSA:26040093 see, \url{https://pirsa.org}}
}

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.

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