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SUMMARY:Automorphic forms\, L-functions\, and the conformal bootstrap - Da
 limil Mazac (CEA/Saclay)
DTSTART:20260409T130000Z
DTEND:20260409T140000Z
UID:TALK245149@talks.cam.ac.uk
DESCRIPTION:I will review an analogy between conformal field theory in d d
 imensions\, and spectral theory of automorphic forms on hyperbolic (d+1)-m
 anifolds. Building on this analogy\, I will prove a new subconvex bound on
  triple product L-functions\, using the conformal bootstrap. Finally\, I w
 ill review a theorem of Adve that the bootstrap method knows all there is 
 to know about the spectra and trilinear periods of compact hyperbolic surf
 aces. Based on works with A. Adve\, J. Bonifacio\, P. Kravchuk\, S. Pal\, 
 A. Radcliffe\, and G. Rogelberg.
LOCATION:Seminar Room 1\, Newton Institute
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