Orateur: Hideo Takioka (Osaka)
Titre: The cable $\Gamma$-polynomial of a knot.
Résumé: We consider the cable version of the $\Gamma$-polynomial, which is the common zeroth coefficient polynomial of both the HOMFLYPT and Kauffman polynomials. I will talk about the following 5 topics:

i.   Classification of Abe-Tange's ribbon knots by the $\Gamma$-polynomial.
ii.  A characterization of the $\Gamma$-polynomial of a knot with clasp number at most two.
iii. Braid index of Kanenobu knots.
iv. Arc index of Kanenobu knots (a joint work with Hwa Jeong Lee (KAIST)).
v.  The cable $\Gamma$-polynomials of mutant knots.

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