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SUMMARY:Failure of the integral Hodge conjecture for hypersurfaces
DTSTART:20260513T120000Z
DTEND:20260513T131500Z
DTSTAMP:20260527T003200Z
UID:indico-event-16575@indico.math.cnrs.fr
DESCRIPTION:Speakers: Matthias Paulsen (ENS)\n\nThe integral Hodge conject
 ure relates algebraic cycles on smooth complex projective varieties to the
 ir topological and analytic aspects. After Atiyah and Hirzebruch found the
  first counterexample\, the integral Hodge conjecture is studied as a prop
 erty that a given variety might satisfy or not. I will first give an overv
 iew of known results for different classes of varieties. Then I will focus
  on hypersurfaces\, which are\, due to Kollár\, the first non-torsion cou
 nterexamples to the integral Hodge conjecture. I want to present Kollár's
  arguments in more detail and explain how they can be combined in order to
  fully determine the cokernel of the cycle class map for many hypersurface
 s. \n\nhttps://indico.math.cnrs.fr/event/16575/
LOCATION:Salle Pierre Grisvard (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/16575/
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