Zajednički sastanak Odeljenja za matematiku i Seminara za geometriju, obrazovanje i vizuelizaciju sa primenama, 20. maj 2014.

Zajednički sastanak Odeljenja za matematiku i Seminara za geometriju, obrazovanje i vizuelizaciju sa primenama biće održan u utorak, 20. maja 2014, sa početkom u 16:30h u sali 301f Matematičkog instituta SANU.

Predavač: Louis H. Kauffman, Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago

Naslov predavanja: INTRODUCTION TO VIRTUAL KNOT THEORY

Sadržaj: This talk is an introduction to virtual knot theory and an exposition of new ideas and constructions, including the parity bracket polynomial, the arrow polynomial, and virtual knot cobordism. Virtual knot theory is an extension of classical knot theory to stabilized embeddings of circles into thickened orientable surfaces of arbitrary genus. Classical knot theory is the case of genus zero. There is a diagrammatic theory for studying virtual knots and links, and this diagrammatic theory lends itself to the construction of numerous new invariants of virtual knots as well as extensions of known invariants. Many remarkable phenomena occur in the virtual domain.



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