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SUMMARY:Peter Zenz (McGill)
DTSTART:20220511T150000Z
DTEND:20220511T160000Z
DTSTAMP:20260418T065204Z
UID:LNTS/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/69/">Ho
 lomorphic Hecke Cusp Forms and Quantum Chaos</a>\nby Peter Zenz (McGill) a
 s part of London number theory seminar\n\nLecture held in King's Building\
 , K0.18.\n\nAbstract\nArithmetic Quantum Chaos (AQC) is an active area of 
 research at the intersection of number theory and physics. One major goal 
 in AQC is to study the mass distribution and behaviour of Hecke Maass cusp
  forms on hyperbolic surfaces as the Laplace eigenvalue tends to infinity.
  In this talk we will focus on analogous questions for holomorphic Hecke c
 usp forms. First\, we will review some of the important solved and unsolve
 d questions in the area\, like the Quantum Unique Ergodicity problem or th
 e Gaussian Moment Conjecture. We then elaborate on a sharp bound for the f
 ourth moment of holomorphic cusp forms and ongoing work on evaluating the 
 averaged sixth moment of holomorphic cusp forms. These are special instanc
 es of the Gaussian Moment Conjecture.\n
LOCATION:https://researchseminars.org/talk/LNTS/69/
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