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SUMMARY:Curves and cycles on K3 surfaces
DTSTART:20130327T141500
DTEND:20130327T160000
DTSTAMP:20260609T210822Z
UID:ce7fed2130bf12261fc14d5d9531c2cf6bda351796185c52a12b0df8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Daniel Huybrechts\, University of Bonn\nIn these two talks I w
 ill discuss what is known about the Chow groups of K3 surfaces. Chow grou
 ps of (K3) surfaces are rather mysterious and many deep conjectures rema
 in wide open. Eg Bloch's conjecture for surfaces with p_g=0 or finite di
 mensionality a la Kimura. Chow groups reflect the specific geometry of a 
 surface as well as the arithmetic of the surface. I will approach these 
 questions from two angles: The Bloch-Beilinson conjecture for surfaces ov
 er number fields and a well known conjecture about the density of rationa
 l curves on K3 surfaces. In particular\, I shall introduce a new type of
  curves\, so called constant cycle curves\, which generalize rational cur
 ves.
LOCATION:CM09  http://plan.epfl.ch/?zoom=19&recenter_y=5864183.35306&recen
 ter_x=730928.59101&layerNodes=fonds\,batiments\,labels\,events_surface\,ev
 ents_line\,events_label\,information\,parkings_publics\,arrets_metro\,even
 em
STATUS:CONFIRMED
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