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SUMMARY:On the knot invariants from the Yokonuma-Hecke algebras  
DTSTART:20150331T151500
DTEND:20150331T170000
DTSTAMP:20260427T204623Z
UID:e2b8b56639fc0d2a8b12b5967ae454fb4089c0b668d27e950e738789
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sofia Lambropoulou\, Athens\nThe Yokonuma-Hecke algebras\, $Y_
 {d\,n}(q)$\, are quotients of the framed braid group and they include the 
 Iwahori-Hecke algebra\, $H_n(q)$\, for $d=1$. In the first part of the tal
 k we will discuss the passage from knots to braids and we will present the
  construction of the 2-variable Jones or Homflypt polynomial for classical
  knots and links from the algebra $H_n(q)$ and the Ocneanu trace. We shall
  then introduce the algebras $Y_{d\,n}(q)$ and the Juyumaya traces $tr_d$ 
 defined on them. From the traces $tr_d$ we derive invariants for knots and
  links upon imposing a condition on the trace parameters. The question is 
 how these invariants compare with the Homflypt polynomial. We will show th
 at for knots they are topologically equivalent to the Homflypt polynomial.
  The case of links is still open.
LOCATION:MAA330 http://plan.epfl.ch/?zoom=20&recenter_y=5864131.98476&rece
 nter_x=731135.48838&layerNodes=fonds\,batiments\,labels\,information\,park
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STATUS:CONFIRMED
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