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H 1 On real algebraic knots and links

Auteurs : Orevkov, Stepan (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : I will present the following results on real algebraic spatial curves:
    (1) (joint with Mikhalkin) Classification of smooth irreducible spatial real algebraic curves of genus 0 or 1 up to degree 6 up to rigid isotopy.
    (2) (joint with Mikhalkin) Classification of smooth irreducible spatial real algebraic curves with maximal encomplexed writhe up to (not rigid yet) isotopy.
    (3) Classification of smooth spatial real algebraic curves of genus 0 with two irreducible components up to degree 6 up to rigid isotopy, in particular, the first (as far as know) example of two spatial real algebraic curves which are isotopic, have equal degree, genus and encomplexed writhe of each irreducible component but not rigidly isotopic.

    Codes MSC :
    14P25 - Topology of real algebraic varieties

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 21/09/2017
      Date de captation : 20/09/2017
      Collection : Research talks
      Format : MP4
      Durée : 00:57:37
      Domaine : Topology ; Algebraic & Complex Geometry
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-09-20_Orevkov.mp4

    Informations sur la rencontre

    Nom du congrès : Perspectives in real geometry / Perspectives en géométrie réelle
    Organisteurs Congrès : Brugallé, Erwan ; Itenberg, Ilia ; Shustin, Eugenii
    Dates : 18/09/2017 - 22/09/2017
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1782.html

    Citation Data

    DOI : 10.24350/CIRM.V.19222603
    Cite this video as: Orevkov, Stepan (2017). On real algebraic knots and links. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19222603
    URI : http://dx.doi.org/10.24350/CIRM.V.19222603


    Voir aussi

    Bibliographie

    1. Mikhalkin, G., & Orevkov, S. (2016). Real algebraic knots and links of small degree. Journal of Knot Theory and its Ramifications, 25(12), Article ID 1642010 - http://dx.doi.org/10.1142/S0218216516420104

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