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SUMMARY:Emre Sertöz (Leibniz University Hannover)
DTSTART:20200819T160000Z
DTEND:20200819T173000Z
DTSTAMP:20260422T172221Z
UID:UCGEN/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/2/">Se
 parating periods of quartic surfaces</a>\nby Emre Sertöz (Leibniz Univers
 ity Hannover) as part of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n
 \n\nAbstract\nKontsevich--Zagier periods form a natural number system that
  extends the algebraic numbers by adding constants coming from geometry an
 d physics. Because there are countably many periods\, one would expect it 
 to be possible to compute effectively in this number system. This would re
 quire an effective 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 surface
 s defined over algebraic numbers. We also determine the minimal distance b
 etween periods of bounded height on a single surface. We use these results
  to prove heuristic computations of Picard groups that rely on approximati
 ons of periods. Moreover\, we give explicit Liouville type numbers that ca
 n not be the ratio of two periods of a quartic surface. This is ongoing wo
 rk with Pierre Lairez (Inria\, France).\n
LOCATION:https://researchseminars.org/talk/UCGEN/2/
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