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SUMMARY:Emre Sertöz (Max Planck Institute for Mathematics)
DTSTART:20201126T173000Z
DTEND:20201126T183000Z
DTSTAMP:20260422T054801Z
UID:SFUQNTAG/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/15/
 ">Separating periods of quartic surfaces</a>\nby Emre Sertöz (Max Planck 
 Institute for Mathematics) as part of SFU NT-AG seminar\n\n\nAbstract\nKon
 tsevich--Zagier periods form a natural number system that extends the alge
 braic numbers by adding constants coming from geometry and physics. Becaus
 e there are countably many periods\, one would expect it to be possible to
  compute effectively in this number system. This would require an effectiv
 e height function and the ability to separate periods of bounded height\, 
 neither of which are currently possible.\n\nIn this talk\, we introduce an
  effective height function for periods of quartic surfaces defined over al
 gebraic numbers. We also determine the minimal distance between periods of
  bounded height on a single surface. We use these results to prove heurist
 ic computations of Picard groups that rely on approximations of periods. M
 oreover\, we give explicit Liouville type numbers that can not be the rati
 o of two periods of a quartic surface. This is ongoing work with Pierre La
 irez (Inria\, France).\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/15/
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