GIOVEDI' 18 NOVEMBRE 2010

SEMINARIO 16:15-18:00, Sala Seminari (Dip. Matematica) Cubic Hecke Algebra Ivan Marin (Institut de Mathématiques de Jussieu)

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.

Liviana Paoletti Segreteria Scientifica

Dipartimento di Matematica "L. Tonelli" Universita' di Pisa tel. 0502213251 e-mail paoletti@dm.unipi.it

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