BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Christian Liedtke (Technical University of Munich)
DTSTART:20200917T150000Z
DTEND:20200917T160000Z
DTSTAMP:20260423T035918Z
UID:ZAG/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/61/">Rat
 ional curves on K3 surfaces</a>\nby Christian Liedtke (Technical Universit
 y of Munich) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstrac
 t\nWe prove that every complex projective K3 surface contains infinitely r
 ational curves\, which confirms a folklore conjecture on K3 surfaces. This
  was previously known for elliptic K3 surfaces (Bogomolov-Tschinkel)\, for
  very general K3 surfaces (Chen)\, as well as for K3 surfaces of odd Picar
 d rank (Bogomolov-Hassett-Tschinkel\, Li-Liedtke). We finish this conjectu
 re by introducing two new techniques: “regeneration” (a sort of conver
 se to degeneration) and the “marked point trick” (a technique for cont
 rolled degenerations)\, which allows to treat the missing cases. This is j
 oint work with Xi Chen and Frank Gounelas.\n
LOCATION:https://researchseminars.org/talk/ZAG/61/
END:VEVENT
END:VCALENDAR