Orateur:  Timur Nasybullov (Universita di Bologna)
Titre: Complete invariant for fused links and homology of finite covers via quantum representations.
Résumé: One of the most important problems in knot theory is the knot recognition problem, is determining the equivalence of two knots. A complete algorithmic solution of this problem exists but it has unknown complexity. Virtual knot theory is a generalization of classical knot theory which was introduced by L.Kauffman in 1999. For virtual knots it is also very important to solve the knot recognition problem. In the talk I am going to introduce one simplification of classical and virtual knot theories called fused knot theory and solve the knot recognition problem for fused links in polynomial time.

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