Recently, a close parallel emerged between conformal field theory in general dimension and the theory of automorphic forms.
I will review this connection and explain how it can be leveraged to make rigorous progress on central open problems of number theory, using methods from the conformal bootstrap. In particular, I will use the crossing equation to prove new subconvex bounds on L-functions.
Dalimil Mazac (Paris): L-functions and the conformal bootstrap
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- Mazac_7_October_2025.pdf 215 KB
