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H 2 Rank 3 rigid representations of projective fundamental groups

Auteurs : Simpson, Carlos (Auteur de la Conférence)
CIRM (Editeur )

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representation of fundamental group variation of Hodge structure travaux de Shimura Hodge types family of Abelian varieties complex VHS Kodaira-Spencer map Bogomolov's lemma effective divisors Bogomolov-Gieseker inequality nef line bundle Zariski semi-decomposition Hodge index theorem symmetric square holomorphic 1-form questions of the audience

Résumé : This is joint with Adrian Langer. Let $X$ be a smooth complex projective variety. We show that every rigid integral irreducible representation $ \pi_1(X,x) \to SL(3,\mathbb{C})$ is of geometric origin, i.e. it comes from a family of smooth projective varieties. The underlying theorem is a classification of VHS of type $(1,1,1)$ using some ideas from birational geometry.

Codes MSC :
14D07 - Variation of Hodge structures
14F35 - Homotopy theory; fundamental groups
22E40 - Discrete subgroups of Lie groups
58E20 - Harmonic maps

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 09/06/16
    Date de captation : 31/05/16
    Collection : Research talks ; Algebraic and Complex Geometry
    Format : MP4 (.mp4) - HD
    Durée : 01:02:13
    Domaine : Algebraic & Complex Geometry
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2016-05-31_Simpson.mp4

Informations sur la rencontre

Nom de la rencontre : Topology of complex algebraic varieties / Topologie des variétés algébriques complexes
Organisateurs de la rencontre : Eyssidieux, Philippe ; Klinger, Bruno ; Kotschick, Dieter ; Toledo, Domingo
Dates : 30/05/16 - 03/06/16
Année de la rencontre : 2016
URL Congrès : http://conferences.cirm-math.fr/1398.html

Citation Data

DOI : 10.24350/CIRM.V.18984703
Cite this video as: Simpson, Carlos (2016). Rank 3 rigid representations of projective fundamental groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18984703
URI : http://dx.doi.org/10.24350/CIRM.V.18984703

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