Séminaire de Géométrie Tropicale

Institut Mathématiques de Jussieu ,
Université Pierre et Marie Curie, Paris 6
UMR CNRS 7586




Mercredi 4 mai 2016 14h salle 1525-502



Grigory Mikhalkin (Université de Genève)

Algebraic knots and links of degree 5 and 6

Résumé :
The talk will review topological and rigid classifications of algebraic knots and link in RP3 of degree 5 and 6 obtained recently by Stepan Orevkov and the speaker.

As in the classification of rational algebraic knots of degree 5 obtained earlier by Johan Bjorklund, the key role is played by the so-called "encomplexed writhe", or the Viro invariant of spatial real algebraic curves. The talk will also review this fundamental notion.