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<DIV><FONT face=Arial size=2><FONT face="Times New Roman" size=3>GIOVEDI' 18
NOVEMBRE 2010<BR><BR>SEMINARIO<BR>16:15-18:00, Sala Seminari (Dip.
Matematica)<BR>Cubic Hecke Algebra<BR>Ivan Marin (Institut de Mathématiques de
Jussieu)<BR><BR><BR><BR>Abstract:<BR>The classical link invariants known as the
Alexander, Jones<BR>and Homfly polynomials come from a quadratic
finite-dimensional quotient<BR>of the group algebra of the braid group, known as
the Iwahori-Hecke<BR>algebra of type A. The Kauffman polynomial comes from
a<BR>finite-dimensional cubic quotient of this group algebra. In 1995,
L.<BR>Funar proposed another finite-dimensional cubic quotient of this
group<BR>algebra, as the seed for a new link invariant. We prove that
this<BR>quotient actually collapses over a field of characteristic 0, but on
the<BR>contrary is very large over a field of characteristic 2, thus
raising<BR>new questions about this mysterious quotient. This is joint work
with<BR>Marc Cabanes.</FONT><BR><BR></FONT></DIV>
<DIV>
<P style="MARGIN-BOTTOM: 0cm"> <I><FONT size=2><FONT face=Arial>Liviana
Paoletti <BR> Segreteria Scientifica</FONT></FONT></I></P>
<P style="MARGIN-BOTTOM: 0cm"><FONT size=2><FONT face=Arial><I>Dipartimento di
Matematica<BR>"L. Tonelli" Universita' di Pisa<BR>tel.
0502213251<BR>e-mail </I><A
href="mailto:paoletti@dm.unipi.it"><I>paoletti@dm.unipi.it</I></A></FONT></FONT></P><PRE></PRE></DIV></BODY></HTML>