Perspectives in real geometry / Perspectives en géométrie réelle

Collection Perspectives in real geometry / Perspectives en géométrie réelle

Organizer(s) Brugallé, Erwan ; Itenberg, Ilia ; Shustin, Eugenii

Date(s) 18/09/2017 - 22/09/2017

linked URL http://conferences.cirm-math.fr/1782.html

00:00:00 / 00:00:00

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On real algebraic knots and links

By Stepan Orevkov

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.

Information about the video

Date of recording 20/09/2017
Date of publication 21/09/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19222603
Cite this video Orevkov, Stepan (20/09/2017). On real algebraic knots and links. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19222603
URL https://dx.doi.org/10.24350/CIRM.V.19222603

Domain(s)

Bibliography

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

MSC codes

14P25 Topology of real algebraic varieties

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