English
On real algebraic knots and links
Multi angle
Auteurs : Orevkov, Stepan (Auteur de la Conférence)
CIRM (Editeur )
14P25 - Topology of real algebraic varieties
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 : (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.
14P25 - Topology of real algebraic varieties
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 21/09/2017 Date de captation : 20/09/2017 Sous collection : Research talks arXiv category : Algebraic Geometry ; Geometric Topology Domaine : Topology ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Durée : 00:57:37 Audience : Researchers Download : https://videos.cirm-math.fr/2017-09-20_Orevkov.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Perspectives in real geometry / Perspectives en géométrie réelleOrganisateurs de la rencontre : 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
Données de citation
DOI : 10.24350/CIRM.V.19222603Citer cette vidéo: 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
- [ Post-edited] Expected topology of a random subcomplex in a simplicial complex / Auteur de la Conférence Welschinger, Jean-Yves.
- [Multi angle] Real curves and a Klein TQFT / Auteur de la Conférence Georgieva, Penka.
- [Multi angle] Sums of three squares and Noether-Lefschetz loci / Auteur de la Conférence Benoist, Olivier.
- [Multi angle] Complex torus, its good compactifications and the ring of conditions / Auteur de la Conférence Khovanskii, Askold.
Bibliographie
- 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
