BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251122T041133EST-6625bi1Uva@132.216.98.100 DTSTAMP:20251122T091133Z DESCRIPTION:Title: Rational curves on K3 surfaces\n\nAbstract:It is conject ured that there are infinitely many rational curves on every projective K3 surface. A large part of this conjecture was proved by Jun Li and Christi an Liedtke: there are infinitely many rational curves on every projective K3 surface of odd Picard rank. Over complex numbers\, there are a few rema ining cases: K3 surfaces of Picard rank two excluding elliptic K3's and K3 's with infinite automorphism groups and K3 surfaces with two particular P icard lattices of rank four. We have settled these leftover cases and also generalized the conjecture to curves of high genus. This is a joint work with Frank Gounelas and Christian Liedtke.\n DTSTART:20190510T150000Z DTEND:20190510T160000Z LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy\, 201 Ave. Preside nt-Kennedy SUMMARY:Xi Chen\, University of Alberta URL:/mathstat/channels/event/xi-chen-university-albert a-296972 END:VEVENT END:VCALENDAR