AVVISO di SEMINARIO

Giovedi' 18/11, ore 16.15 in Sala Seminari parlera'

Ivan Marin (Institut de Mathématiques de Jussieu)

Titolo: Cubic Hecke Algebra __________________________________________________________________________ Abstract: The classical link invariants known as the Alexander, Jones and Homfly polynomials come from a quadratic finite-dimensional quotient of the group algebra of the braid group, known as the Iwahori-Hecke algebra of type A. The Kauffman polynomial comes from a finite-dimensional cubic quotient of this group algebra. In 1995, L. Funar proposed another finite-dimensional cubic quotient of this group algebra, as the seed for a new link invariant. We prove that this quotient actually collapses over a field of characteristic 0, but on the contrary is very large over a field of characteristic 2, thus raising new questions about this mysterious quotient. This is joint work with Marc Cabanes. __________________________________________________________________________

(per gli interessati: scusate lo scarso preavviso, non si puo' fare che giovedi' a quell'ora).