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H 1 On examples of varieties that are not stably rational

Auteurs : Pirutka, Alena (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : A variety X is stably rational if a product of X and some projective space is rational. There exists examples of stably rational non rational complex varieties. In this talk we will discuss recent series of examples of varieties, which are not stably rational and not even retract rational. The proofs involve studying the properties of Chow groups of zero-cycles and the diagonal decomposition. As concrete examples, we will discuss some quartic double solids (C. Voisin), quartic threefolds (a joint work with Colliot-Thélène), some hypersurfaces (Totaro) and others.

    Codes MSC :
    14C15 - (Equivariant) Chow groups and rings; motives
    14M20 - Rational and unirational varieties
    14E08 - Rationality questions

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 29/09/2015
      Date de captation : 01/09/2015
      Collection : Research Talks ; Algebraic and Complex Geometry ; Mathematical Physics ; Topology
      Format : quicktime ; audio/x-aac
      Durée : 01:02:55
      Domaine : Algebraic & Complex Geometry ; Topology ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-09-01_Pirutka.mp4

    Informations sur la rencontre

    Nom de la rencontre : Cohomological Methods in the Theory of Algebraic Groups
    Organisateurs de la rencontre : Calmes, Baptiste ; Chernousov, Vladimir ; Karpenko, Nikita
    Dates : 31/08/2015 - 04/09/2015
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1001.html

    Citation Data

    DOI : 10.24350/CIRM.V.18824503
    Cite this video as: Pirutka, Alena (2015). On examples of varieties that are not stably rational. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18824503
    URI : http://dx.doi.org/10.24350/CIRM.V.18824503

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