[CvGmt News] [Notiziario] [Settimanale] annuncio di seminario

[Liviana Paoletti]

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 at dm.unipi.it
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