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SUMMARY:Smoothing low-dimensional cycles in algebraic cobordism
DTSTART:20260513T133000Z
DTEND:20260513T144500Z
DTSTAMP:20260527T003200Z
UID:indico-event-16574@indico.math.cnrs.fr
DESCRIPTION:Speakers: Chuhao Huang (ENS)\n\nThe question of smoothability 
 of algebraic cycles was first raised by Borel and Haefliger in 1961\, in t
 he context of Betti cohomology. Although many varieties with non-smoothabl
 e cycles have been found since 1974\, all known examples concern cycles wh
 ose dimension is at least half that of the ambient variety. In the complem
 entary range\, a recent breakthrough of Kollár and Voisin shows that cycl
 es of dimension less than half that of the ambient variety are always smoo
 thable in the Chow group\, i.e.\, their classes can be written as linear c
 ombinations of classes of smooth subvarieties. In this talk\, I will prese
 nt a generalization of their result from Chow groups to algebraic cobordis
 m\, which can be viewed as the algebraic analogue of complex cobordism.\n\
 nhttps://indico.math.cnrs.fr/event/16574/
LOCATION:Salle Pierre Grisvard (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/16574/
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