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DTSTART;TZID=Europe/Berlin:20260623T160000
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DTSTAMP:20260617T062754Z
CREATED:20260416T144354Z
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UID:13096-1782230400-1782234000@crc326gaus.de
SUMMARY:International Seminar on Automorphic Forms
DESCRIPTION:Zeros of Poincaré series\nNoam Kimmel (MPIM Bonn) \nWe explore the zeros of certain Poincaré series P(k\,m) of weight k and index m for the full modular group. These are distinguished modular forms\, which have played a key role in the analytic theory of modular forms. We study the zeros of P(k\,m) when the weight k tends to infinity. The case where the index m is constant was considered by Rankin who showed that in this case almost all of the zeros lie on the unit arc |z|=1. In this talk we will explore the location of the zeros when the index m grows with the weight k\, finding a range of different limit laws. Along the way\, we also establish a version of Quantum Unique Ergodicity for some ranges. \nZoom (680 4828 0736\, The password is the first Fourier coefficient of the modular j-function (as digits)).
URL:https://crc326gaus.de/event/international-seminar-on-automorphic-forms-18/
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