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SUMMARY:How loud is an arithmetic drum? - Radu Toma\, University of Bonn
DTSTART:20220204T150000Z
DTEND:20220204T160000Z
UID:TALK167534@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:A modular form can be viewed as a wave function on an arithmet
 ic surface. The theory of quantum chaos asks how these waves distribute as
  their energy grows. One approach is the so-called sup-norm problem\, wher
 e one looks for bounds on the size of automorphic forms as certain paramet
 ers grow\, such as the weight or eigenvalue\, and the level. This talk wil
 l be a gentle introduction to this rich problem\, touching on spectral the
 ory\, the amplification method\, algebraic number theory\, and application
 s to L-functions.
LOCATION:Zoom
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