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2 événements

  • Algèbre Géométrie

    Mardi 10 octobre 11:30-12:30 - Marcelo Flores - Universidad de Valparaíso

    Marcelo Flores : On knot algebras of type B

    Résumé : A knot algebra is, in simple words, an algebra that supports a unique Markov trace which can be rescaled according to the Markov equivalence for braids, allowing thus the construction of invariants of knot-like objects by using the Jones’ method.
    On the other hand, the concept of framization of knot algebras, is a relatively new technique that was first introduced by Juyumaya and Lambropoulou. The model case for the framization process is the Yokonuma-Hecke algebra, which can be regarded as a framization of the Hecke algebra of type A. In recent years the framization technique received a considerable amount of attention thanks to a series of results by Juyumaya, Lambropoulou and their collaborators regarding the framizations of various knot algebras as well as the construction of Jones-type invariants for framed, classical and singular links.
    All the results that are mentioned above are related to the Coxeter group of type A. However, there has been a growing interest also in the framization of algebras that are related to type B. Indeed, we recently introduced a framization of the Hecke algebra of type B which is an analogous to the Yokonuma-Hecke algebra but in the context of Coxeter systems of the type B. Thus, using such an algebra, we also construct the analogous of the Framization of the Temperley–Lieb algebra and the bt–algebra in the context of Coxeter groups of type B, which will be the centerpiece of this talk.

    Lieu : Fermat - Salle 2205

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  • Réservation salle de réunion

    Mardi 10 octobre 12:00-13:00 -

    Conseil de labo

    Lieu : salle 4305

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