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SUMMARY:Some new results on curves on K3s - Special session of the HyperK 
 seminar in Bonn on January 9 & 10\, 2025
DTSTART:20250109T093000Z
DTEND:20250109T103000Z
DTSTAMP:20260416T082100Z
UID:indico-event-174@math-events.uni-bonn.de
CONTACT:huybrech@math.uni-bonn.de
DESCRIPTION:Speakers: Frank Gounelas (Bonn)\n\nThere are numerous question
 s and open conjectures about the (non-)existence of curves on K3 surfaces 
 which vary maximally in moduli\, or\, respectively\, do not vary at all (t
 he isotrivial case) - a classical open problem in the area\, which goes ba
 ck to Deligne/Schoen/Serre is whether a very general K3 surface can be dom
 inated by the product of two smooth curves. In this talk will summarise so
 me recent results and in particular focus on recent work with Chen and Dut
 ta proving that if the Picard rank is one\, then there can be no generical
 ly smooth isotrivial families of curves.\n​\n\nhttps://math-events.uni-b
 onn.de/event/174/
LOCATION:Poppelsdorfer Allee 45\, 1\, EG\, Lecture room - HIM PA82 (HIM)
URL:https://math-events.uni-bonn.de/event/174/
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