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SUMMARY:Zeros of Eisenstein series for congruence groups [MPIM]
DTSTART:20250430T123000Z
DTEND:20250430T133000Z
DTSTAMP:20260317T062800Z
UID:indico-event-326@math-events.uni-bonn.de
DESCRIPTION:Speakers: Gunther Cornelissen (Universiteit Utrecht/MPIM)\n\nN
 umber theory lunch seminar\nWe study the distribution of zeros of Eisenste
 in series on an arbitrary congruence groups in the standard fundamental do
 main F for SL(2\,Z). The main results are an upper bound on the imaginary 
 part of such a zero (defined in terms of the (non-)vanishing of a generali
 sation of Ramanujan/Kloosterman sums)\,  a description of a limiting confi
 guration of compact segments of geodesics to which all zeros tend as the w
 eight increases (based on describing the limit set of a family of polynomi
 als of increasing degree in terms of a boolean combination of inequalities
 )\, and a proof that there are only finitely many possible algebraic zeros
  in F (using CM theory). All results can be made explicit\, e.g.\, princip
 al and Hecke congruence groups\, including a trichotomy for the convergenc
 e speed to the limiting configuration. Joint work with Sebastian Carrillo 
 (Utrecht) and Berend Ringeling (Montreal). \n\n\nhttps://math-events.uni-b
 onn.de/event/326/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/326/
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