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H 2 Periods of polarized hyperkähler manifolds​

Auteurs : Debarre, Olivier (Auteur de la Conférence)
CIRM (Editeur )

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K3 surfaces polarized K3 surfaces period map period domain hyperkähler manifolds period map for hyperkähler manifolds strange duality questions from the audience

Résumé : Hyperkähler manifolds are higher-dimensional analogs of K3 surfaces. Verbitsky and Markmann recently proved that their period map is an open embedding. In a joint work with E. Macri, we explicitly determine the image of this map in some cases. I will explain this result together with a nice application (found by Bayer and Mongardi) to the (almost complete) determination of the image of the period map for cubic fourfolds, hereby partially recovering a result of Laza.

Codes MSC :
14C34 - Torelli problem
14E07 - Birational automorphisms, Cremona group and generalizations
14J50 - Automorphisms of surfaces and higher-dimensional varieties
14J60 - Vector bundles on surfaces and higher-order varieties, and their moduli

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 12/04/2018
    Date de captation : 10/04/2018
    Collection : Research talks ; Algebraic and Complex Geometry
    Format : MP4 (.mp4) - HD
    Durée : 00:55:59
    Domaine : Algebraic & Complex Geometry
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2018-04-10_Debarre.mp4

Informations sur la rencontre

Nom de la rencontre : French-German meeting on complex algebraic geometry / Rencontre franco-allemande en géométrie algébrique complexe
Organisateurs de la rencontre : Greb, Daniel ; Höring, Andreas ; Toma, Matei
Dates : 09/04/2018 - 13/04/2018
Année de la rencontre : 2018
URL Congrès : https://conferences.cirm-math.fr/1789.html

Citation Data

DOI : 10.24350/CIRM.V.19387903
Cite this video as: Debarre, Olivier (2018). Periods of polarized hyperkähler manifolds​. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19387903
URI : http://dx.doi.org/10.24350/CIRM.V.19387903

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