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SUMMARY:Stieltjes-Wigert and quantum topological invariants - Tierz\, M (B
 randeis)
DTSTART:20090701T110000Z
DTEND:20090701T113000Z
UID:TALK18962@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We introduce the Stieltjes-Wigert polynomials and show their u
 tility in the analytical computation of quantum topological invariants. Ex
 amples are given\, the simplest being the computation of the Witten-Reshet
 ikhin-Turaev invariant. The computation of quantum dimensions\, presented 
 in detail\, requires an interesting mixture of Stieltjes-Wigert polynomial
 s and key results borrowed from algebraic combinatorics. The relationship 
 with random matrices and the relevance of other set of polynomials\, such 
 as the biorthogonal version of the Sieltjes-Wigert polynomials is also dis
 cussed.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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